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Finding the Third Proportional to 657,665 and 1,434,349

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Solution

The third proportional to 657,665 and 1,434,349 is: 3,128,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,665 : 1,434,349 = 1,434,349 : x
  2. Step 2: Convert to fraction form
    657,665/1,434,349 = 1,434,349/x
  3. Step 3: Cross multiply
    657,665x = 1,434,349 × 1,434,349
  4. Step 4: Simplify right side
    657,665x = 2,057,357,053,801
  5. Step 5: Solve for x
    x = 2,057,357,053,801/657,665
  6. Step 6: Final answer
    x = 3,128,275.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.