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Finding the Third Proportional to 665,128.13 and 1,507,816.69

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Solution

The third proportional to 665,128.13 and 1,507,816.69 is: 3,418,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,128.13 : 1,507,816.69 = 1,507,816.69 : x
  2. Step 2: Convert to fraction form
    665,128.13/1,507,816.69 = 1,507,816.69/x
  3. Step 3: Cross multiply
    665,128.13x = 1,507,816.69 × 1,507,816.69
  4. Step 4: Simplify right side
    665,128.13x = 2,273,511,163,103.47
  5. Step 5: Solve for x
    x = 2,273,511,163,103.47/665,128.13
  6. Step 6: Final answer
    x = 3,418,155.21

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.