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Finding the Third Proportional to 658,743 and 1,417,350

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Solution

The third proportional to 658,743 and 1,417,350 is: 3,049,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,743 : 1,417,350 = 1,417,350 : x
  2. Step 2: Convert to fraction form
    658,743/1,417,350 = 1,417,350/x
  3. Step 3: Cross multiply
    658,743x = 1,417,350 × 1,417,350
  4. Step 4: Simplify right side
    658,743x = 2,008,881,022,500
  5. Step 5: Solve for x
    x = 2,008,881,022,500/658,743
  6. Step 6: Final answer
    x = 3,049,567.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.