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Finding the Third Proportional to 605,499 and 937,551

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Solution

The third proportional to 605,499 and 937,551 is: 1,451,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,499 : 937,551 = 937,551 : x
  2. Step 2: Convert to fraction form
    605,499/937,551 = 937,551/x
  3. Step 3: Cross multiply
    605,499x = 937,551 × 937,551
  4. Step 4: Simplify right side
    605,499x = 879,001,877,601
  5. Step 5: Solve for x
    x = 879,001,877,601/605,499
  6. Step 6: Final answer
    x = 1,451,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.