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Finding the Third Proportional to 1,208,795.91 and 1,642,642.03

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Solution

The third proportional to 1,208,795.91 and 1,642,642.03 is: 2,232,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,795.91 : 1,642,642.03 = 1,642,642.03 : x
  2. Step 2: Convert to fraction form
    1,208,795.91/1,642,642.03 = 1,642,642.03/x
  3. Step 3: Cross multiply
    1,208,795.91x = 1,642,642.03 × 1,642,642.03
  4. Step 4: Simplify right side
    1,208,795.91x = 2,698,272,842,829.13
  5. Step 5: Solve for x
    x = 2,698,272,842,829.13/1,208,795.91
  6. Step 6: Final answer
    x = 2,232,198.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.