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Finding the Third Proportional to 517,862.25 and 1,107,684

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Solution

The third proportional to 517,862.25 and 1,107,684 is: 2,369,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,862.25 : 1,107,684 = 1,107,684 : x
  2. Step 2: Convert to fraction form
    517,862.25/1,107,684 = 1,107,684/x
  3. Step 3: Cross multiply
    517,862.25x = 1,107,684 × 1,107,684
  4. Step 4: Simplify right side
    517,862.25x = 1,226,963,843,856
  5. Step 5: Solve for x
    x = 1,226,963,843,856/517,862.25
  6. Step 6: Final answer
    x = 2,369,286.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.