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Finding the Third Proportional to 482,527.13 and 1,044,486.14

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Solution

The third proportional to 482,527.13 and 1,044,486.14 is: 2,260,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,527.13 : 1,044,486.14 = 1,044,486.14 : x
  2. Step 2: Convert to fraction form
    482,527.13/1,044,486.14 = 1,044,486.14/x
  3. Step 3: Cross multiply
    482,527.13x = 1,044,486.14 × 1,044,486.14
  4. Step 4: Simplify right side
    482,527.13x = 1,090,951,297,957.71
  5. Step 5: Solve for x
    x = 1,090,951,297,957.71/482,527.13
  6. Step 6: Final answer
    x = 2,260,911.86

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Why These Related Problems?

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