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Finding the Third Proportional to 491,332 and 1,034,840

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Solution

The third proportional to 491,332 and 1,034,840 is: 2,179,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,332 : 1,034,840 = 1,034,840 : x
  2. Step 2: Convert to fraction form
    491,332/1,034,840 = 1,034,840/x
  3. Step 3: Cross multiply
    491,332x = 1,034,840 × 1,034,840
  4. Step 4: Simplify right side
    491,332x = 1,070,893,825,600
  5. Step 5: Solve for x
    x = 1,070,893,825,600/491,332
  6. Step 6: Final answer
    x = 2,179,572.72

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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.