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Finding the Third Proportional to 590,161,784.84 and 1,272,255,601.15

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Solution

The third proportional to 590,161,784.84 and 1,272,255,601.15 is: 2,742,695,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,161,784.84 : 1,272,255,601.15 = 1,272,255,601.15 : x
  2. Step 2: Convert to fraction form
    590,161,784.84/1,272,255,601.15 = 1,272,255,601.15/x
  3. Step 3: Cross multiply
    590,161,784.84x = 1,272,255,601.15 × 1,272,255,601.15
  4. Step 4: Simplify right side
    590,161,784.84x = 1,618,634,314,653,476,864
  5. Step 5: Solve for x
    x = 1,618,634,314,653,476,864/590,161,784.84
  6. Step 6: Final answer
    x = 2,742,695,911.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.