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Finding the Third Proportional to 764,862.75 and 1,126,153.13

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Solution

The third proportional to 764,862.75 and 1,126,153.13 is: 1,658,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,862.75 : 1,126,153.13 = 1,126,153.13 : x
  2. Step 2: Convert to fraction form
    764,862.75/1,126,153.13 = 1,126,153.13/x
  3. Step 3: Cross multiply
    764,862.75x = 1,126,153.13 × 1,126,153.13
  4. Step 4: Simplify right side
    764,862.75x = 1,268,220,860,947.27
  5. Step 5: Solve for x
    x = 1,268,220,860,947.27/764,862.75
  6. Step 6: Final answer
    x = 1,658,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.