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Finding the Third Proportional to 747,817.88 and 1,160,138.25

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Solution

The third proportional to 747,817.88 and 1,160,138.25 is: 1,799,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,817.88 : 1,160,138.25 = 1,160,138.25 : x
  2. Step 2: Convert to fraction form
    747,817.88/1,160,138.25 = 1,160,138.25/x
  3. Step 3: Cross multiply
    747,817.88x = 1,160,138.25 × 1,160,138.25
  4. Step 4: Simplify right side
    747,817.88x = 1,345,920,759,113.06
  5. Step 5: Solve for x
    x = 1,345,920,759,113.06/747,817.88
  6. Step 6: Final answer
    x = 1,799,797.52

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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.