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Finding the Third Proportional to 654,366 and 982,239

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Solution

The third proportional to 654,366 and 982,239 is: 1,474,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,366 : 982,239 = 982,239 : x
  2. Step 2: Convert to fraction form
    654,366/982,239 = 982,239/x
  3. Step 3: Cross multiply
    654,366x = 982,239 × 982,239
  4. Step 4: Simplify right side
    654,366x = 964,793,453,121
  5. Step 5: Solve for x
    x = 964,793,453,121/654,366
  6. Step 6: Final answer
    x = 1,474,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.