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Finding the Third Proportional to 768,750 and 1,655,598

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Solution

The third proportional to 768,750 and 1,655,598 is: 3,565,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,750 : 1,655,598 = 1,655,598 : x
  2. Step 2: Convert to fraction form
    768,750/1,655,598 = 1,655,598/x
  3. Step 3: Cross multiply
    768,750x = 1,655,598 × 1,655,598
  4. Step 4: Simplify right side
    768,750x = 2,741,004,737,604
  5. Step 5: Solve for x
    x = 2,741,004,737,604/768,750
  6. Step 6: Final answer
    x = 3,565,534.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.