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Finding the Third Proportional to 765,260.16 and 1,106,239.78

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Solution

The third proportional to 765,260.16 and 1,106,239.78 is: 1,599,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,260.16 : 1,106,239.78 = 1,106,239.78 : x
  2. Step 2: Convert to fraction form
    765,260.16/1,106,239.78 = 1,106,239.78/x
  3. Step 3: Cross multiply
    765,260.16x = 1,106,239.78 × 1,106,239.78
  4. Step 4: Simplify right side
    765,260.16x = 1,223,766,453,620.05
  5. Step 5: Solve for x
    x = 1,223,766,453,620.05/765,260.16
  6. Step 6: Final answer
    x = 1,599,150.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.