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Finding the Third Proportional to 656,850 and 1,416,246

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Solution

The third proportional to 656,850 and 1,416,246 is: 3,053,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,850 : 1,416,246 = 1,416,246 : x
  2. Step 2: Convert to fraction form
    656,850/1,416,246 = 1,416,246/x
  3. Step 3: Cross multiply
    656,850x = 1,416,246 × 1,416,246
  4. Step 4: Simplify right side
    656,850x = 2,005,752,732,516
  5. Step 5: Solve for x
    x = 2,005,752,732,516/656,850
  6. Step 6: Final answer
    x = 3,053,593.26

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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.