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Finding the Third Proportional to 487,372 and 1,013,746

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Solution

The third proportional to 487,372 and 1,013,746 is: 2,108,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,372 : 1,013,746 = 1,013,746 : x
  2. Step 2: Convert to fraction form
    487,372/1,013,746 = 1,013,746/x
  3. Step 3: Cross multiply
    487,372x = 1,013,746 × 1,013,746
  4. Step 4: Simplify right side
    487,372x = 1,027,680,952,516
  5. Step 5: Solve for x
    x = 1,027,680,952,516/487,372
  6. Step 6: Final answer
    x = 2,108,617.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.