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Finding the Third Proportional to 728,214 and 1,548,282

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Solution

The third proportional to 728,214 and 1,548,282 is: 3,291,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,214 : 1,548,282 = 1,548,282 : x
  2. Step 2: Convert to fraction form
    728,214/1,548,282 = 1,548,282/x
  3. Step 3: Cross multiply
    728,214x = 1,548,282 × 1,548,282
  4. Step 4: Simplify right side
    728,214x = 2,397,177,151,524
  5. Step 5: Solve for x
    x = 2,397,177,151,524/728,214
  6. Step 6: Final answer
    x = 3,291,858.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.