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Finding the Third Proportional to 983,562.75 and 1,563,958.13

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Solution

The third proportional to 983,562.75 and 1,563,958.13 is: 2,486,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,562.75 : 1,563,958.13 = 1,563,958.13 : x
  2. Step 2: Convert to fraction form
    983,562.75/1,563,958.13 = 1,563,958.13/x
  3. Step 3: Cross multiply
    983,562.75x = 1,563,958.13 × 1,563,958.13
  4. Step 4: Simplify right side
    983,562.75x = 2,445,965,016,753.52
  5. Step 5: Solve for x
    x = 2,445,965,016,753.52/983,562.75
  6. Step 6: Final answer
    x = 2,486,841.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.