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Finding the Third Proportional to 664,366 and 1,559,705

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Solution

The third proportional to 664,366 and 1,559,705 is: 3,661,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,366 : 1,559,705 = 1,559,705 : x
  2. Step 2: Convert to fraction form
    664,366/1,559,705 = 1,559,705/x
  3. Step 3: Cross multiply
    664,366x = 1,559,705 × 1,559,705
  4. Step 4: Simplify right side
    664,366x = 2,432,679,687,025
  5. Step 5: Solve for x
    x = 2,432,679,687,025/664,366
  6. Step 6: Final answer
    x = 3,661,655.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.