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Finding the Third Proportional to 487,370 and 1,013,742

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Solution

The third proportional to 487,370 and 1,013,742 is: 2,108,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,370 : 1,013,742 = 1,013,742 : x
  2. Step 2: Convert to fraction form
    487,370/1,013,742 = 1,013,742/x
  3. Step 3: Cross multiply
    487,370x = 1,013,742 × 1,013,742
  4. Step 4: Simplify right side
    487,370x = 1,027,672,842,564
  5. Step 5: Solve for x
    x = 1,027,672,842,564/487,370
  6. Step 6: Final answer
    x = 2,108,609.15

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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.