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Finding the Third Proportional to 656,802 and 1,416,150

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Solution

The third proportional to 656,802 and 1,416,150 is: 3,053,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,802 : 1,416,150 = 1,416,150 : x
  2. Step 2: Convert to fraction form
    656,802/1,416,150 = 1,416,150/x
  3. Step 3: Cross multiply
    656,802x = 1,416,150 × 1,416,150
  4. Step 4: Simplify right side
    656,802x = 2,005,480,822,500
  5. Step 5: Solve for x
    x = 2,005,480,822,500/656,802
  6. Step 6: Final answer
    x = 3,053,402.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.