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Finding the Third Proportional to 485,840 and 1,067,332

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Solution

The third proportional to 485,840 and 1,067,332 is: 2,344,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,840 : 1,067,332 = 1,067,332 : x
  2. Step 2: Convert to fraction form
    485,840/1,067,332 = 1,067,332/x
  3. Step 3: Cross multiply
    485,840x = 1,067,332 × 1,067,332
  4. Step 4: Simplify right side
    485,840x = 1,139,197,598,224
  5. Step 5: Solve for x
    x = 1,139,197,598,224/485,840
  6. Step 6: Final answer
    x = 2,344,799.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.