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Finding the Third Proportional to 2,517,306 and 5,432,646

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Solution

The third proportional to 2,517,306 and 5,432,646 is: 11,724,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,306 : 5,432,646 = 5,432,646 : x
  2. Step 2: Convert to fraction form
    2,517,306/5,432,646 = 5,432,646/x
  3. Step 3: Cross multiply
    2,517,306x = 5,432,646 × 5,432,646
  4. Step 4: Simplify right side
    2,517,306x = 29,513,642,561,316
  5. Step 5: Solve for x
    x = 29,513,642,561,316/2,517,306
  6. Step 6: Final answer
    x = 11,724,296.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.