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Finding the Third Proportional to 602,418 and 1,266,960

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Solution

The third proportional to 602,418 and 1,266,960 is: 2,664,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,418 : 1,266,960 = 1,266,960 : x
  2. Step 2: Convert to fraction form
    602,418/1,266,960 = 1,266,960/x
  3. Step 3: Cross multiply
    602,418x = 1,266,960 × 1,266,960
  4. Step 4: Simplify right side
    602,418x = 1,605,187,641,600
  5. Step 5: Solve for x
    x = 1,605,187,641,600/602,418
  6. Step 6: Final answer
    x = 2,664,574.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.