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Finding the Third Proportional to 621,292 and 982,007

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Solution

The third proportional to 621,292 and 982,007 is: 1,552,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,292 : 982,007 = 982,007 : x
  2. Step 2: Convert to fraction form
    621,292/982,007 = 982,007/x
  3. Step 3: Cross multiply
    621,292x = 982,007 × 982,007
  4. Step 4: Simplify right side
    621,292x = 964,337,748,049
  5. Step 5: Solve for x
    x = 964,337,748,049/621,292
  6. Step 6: Final answer
    x = 1,552,148.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.