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Finding the Third Proportional to 658,712 and 1,417,292

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Solution

The third proportional to 658,712 and 1,417,292 is: 3,049,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,712 : 1,417,292 = 1,417,292 : x
  2. Step 2: Convert to fraction form
    658,712/1,417,292 = 1,417,292/x
  3. Step 3: Cross multiply
    658,712x = 1,417,292 × 1,417,292
  4. Step 4: Simplify right side
    658,712x = 2,008,716,613,264
  5. Step 5: Solve for x
    x = 2,008,716,613,264/658,712
  6. Step 6: Final answer
    x = 3,049,461.09

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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.