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Finding the Third Proportional to 657,614 and 1,436,988

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Solution

The third proportional to 657,614 and 1,436,988 is: 3,140,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,614 : 1,436,988 = 1,436,988 : x
  2. Step 2: Convert to fraction form
    657,614/1,436,988 = 1,436,988/x
  3. Step 3: Cross multiply
    657,614x = 1,436,988 × 1,436,988
  4. Step 4: Simplify right side
    657,614x = 2,064,934,512,144
  5. Step 5: Solve for x
    x = 2,064,934,512,144/657,614
  6. Step 6: Final answer
    x = 3,140,040.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.