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Finding the Third Proportional to 774,146.25 and 1,069,728.75

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Solution

The third proportional to 774,146.25 and 1,069,728.75 is: 1,478,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,146.25 : 1,069,728.75 = 1,069,728.75 : x
  2. Step 2: Convert to fraction form
    774,146.25/1,069,728.75 = 1,069,728.75/x
  3. Step 3: Cross multiply
    774,146.25x = 1,069,728.75 × 1,069,728.75
  4. Step 4: Simplify right side
    774,146.25x = 1,144,319,598,576.56
  5. Step 5: Solve for x
    x = 1,144,319,598,576.56/774,146.25
  6. Step 6: Final answer
    x = 1,478,169.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.