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Finding the Third Proportional to 747,180 and 1,167,425.50

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Solution

The third proportional to 747,180 and 1,167,425.50 is: 1,824,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,180 : 1,167,425.50 = 1,167,425.50 : x
  2. Step 2: Convert to fraction form
    747,180/1,167,425.50 = 1,167,425.50/x
  3. Step 3: Cross multiply
    747,180x = 1,167,425.50 × 1,167,425.50
  4. Step 4: Simplify right side
    747,180x = 1,362,882,298,050.25
  5. Step 5: Solve for x
    x = 1,362,882,298,050.25/747,180
  6. Step 6: Final answer
    x = 1,824,034.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.