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Finding the Third Proportional to 870,052.50 and 1,344,534.75

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Solution

The third proportional to 870,052.50 and 1,344,534.75 is: 2,077,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,052.50 : 1,344,534.75 = 1,344,534.75 : x
  2. Step 2: Convert to fraction form
    870,052.50/1,344,534.75 = 1,344,534.75/x
  3. Step 3: Cross multiply
    870,052.50x = 1,344,534.75 × 1,344,534.75
  4. Step 4: Simplify right side
    870,052.50x = 1,807,773,693,957.56
  5. Step 5: Solve for x
    x = 1,807,773,693,957.56/870,052.50
  6. Step 6: Final answer
    x = 2,077,775.41

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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.