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Finding the Third Proportional to 788,595.75 and 1,181,557.13

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Solution

The third proportional to 788,595.75 and 1,181,557.13 is: 1,770,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,595.75 : 1,181,557.13 = 1,181,557.13 : x
  2. Step 2: Convert to fraction form
    788,595.75/1,181,557.13 = 1,181,557.13/x
  3. Step 3: Cross multiply
    788,595.75x = 1,181,557.13 × 1,181,557.13
  4. Step 4: Simplify right side
    788,595.75x = 1,396,077,239,638.27
  5. Step 5: Solve for x
    x = 1,396,077,239,638.27/788,595.75
  6. Step 6: Final answer
    x = 1,770,333.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.