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Finding the Third Proportional to 392,460 and 847,636

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Solution

The third proportional to 392,460 and 847,636 is: 1,830,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,460 : 847,636 = 847,636 : x
  2. Step 2: Convert to fraction form
    392,460/847,636 = 847,636/x
  3. Step 3: Cross multiply
    392,460x = 847,636 × 847,636
  4. Step 4: Simplify right side
    392,460x = 718,486,788,496
  5. Step 5: Solve for x
    x = 718,486,788,496/392,460
  6. Step 6: Final answer
    x = 1,830,726.16

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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.