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Finding the Third Proportional to 422,981 and 915,658

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Solution

The third proportional to 422,981 and 915,658 is: 1,982,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,981 : 915,658 = 915,658 : x
  2. Step 2: Convert to fraction form
    422,981/915,658 = 915,658/x
  3. Step 3: Cross multiply
    422,981x = 915,658 × 915,658
  4. Step 4: Simplify right side
    422,981x = 838,429,572,964
  5. Step 5: Solve for x
    x = 838,429,572,964/422,981
  6. Step 6: Final answer
    x = 1,982,192.04

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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.