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Finding the Third Proportional to 653,448 and 1,415,494

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Solution

The third proportional to 653,448 and 1,415,494 is: 3,066,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,448 : 1,415,494 = 1,415,494 : x
  2. Step 2: Convert to fraction form
    653,448/1,415,494 = 1,415,494/x
  3. Step 3: Cross multiply
    653,448x = 1,415,494 × 1,415,494
  4. Step 4: Simplify right side
    653,448x = 2,003,623,264,036
  5. Step 5: Solve for x
    x = 2,003,623,264,036/653,448
  6. Step 6: Final answer
    x = 3,066,232.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.