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Finding the Third Proportional to 782,281.13 and 1,210,632.75

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Solution

The third proportional to 782,281.13 and 1,210,632.75 is: 1,873,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,281.13 : 1,210,632.75 = 1,210,632.75 : x
  2. Step 2: Convert to fraction form
    782,281.13/1,210,632.75 = 1,210,632.75/x
  3. Step 3: Cross multiply
    782,281.13x = 1,210,632.75 × 1,210,632.75
  4. Step 4: Simplify right side
    782,281.13x = 1,465,631,655,372.56
  5. Step 5: Solve for x
    x = 1,465,631,655,372.56/782,281.13
  6. Step 6: Final answer
    x = 1,873,535.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.