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Finding the Third Proportional to 614,331 and 1,323,486

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Solution

The third proportional to 614,331 and 1,323,486 is: 2,851,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,331 : 1,323,486 = 1,323,486 : x
  2. Step 2: Convert to fraction form
    614,331/1,323,486 = 1,323,486/x
  3. Step 3: Cross multiply
    614,331x = 1,323,486 × 1,323,486
  4. Step 4: Simplify right side
    614,331x = 1,751,615,192,196
  5. Step 5: Solve for x
    x = 1,751,615,192,196/614,331
  6. Step 6: Final answer
    x = 2,851,256.39

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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.