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Finding the Third Proportional to 466,524 and 982,854

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Solution

The third proportional to 466,524 and 982,854 is: 2,070,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,524 : 982,854 = 982,854 : x
  2. Step 2: Convert to fraction form
    466,524/982,854 = 982,854/x
  3. Step 3: Cross multiply
    466,524x = 982,854 × 982,854
  4. Step 4: Simplify right side
    466,524x = 966,001,985,316
  5. Step 5: Solve for x
    x = 966,001,985,316/466,524
  6. Step 6: Final answer
    x = 2,070,637.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.