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Finding the Third Proportional to 429,492 and 915,860

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Solution

The third proportional to 429,492 and 915,860 is: 1,953,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,492 : 915,860 = 915,860 : x
  2. Step 2: Convert to fraction form
    429,492/915,860 = 915,860/x
  3. Step 3: Cross multiply
    429,492x = 915,860 × 915,860
  4. Step 4: Simplify right side
    429,492x = 838,799,539,600
  5. Step 5: Solve for x
    x = 838,799,539,600/429,492
  6. Step 6: Final answer
    x = 1,953,003.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.