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Finding the Third Proportional to 750,059.44 and 1,617,400.13

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Solution

The third proportional to 750,059.44 and 1,617,400.13 is: 3,487,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,059.44 : 1,617,400.13 = 1,617,400.13 : x
  2. Step 2: Convert to fraction form
    750,059.44/1,617,400.13 = 1,617,400.13/x
  3. Step 3: Cross multiply
    750,059.44x = 1,617,400.13 × 1,617,400.13
  4. Step 4: Simplify right side
    750,059.44x = 2,615,983,164,350.02
  5. Step 5: Solve for x
    x = 2,615,983,164,350.02/750,059.44
  6. Step 6: Final answer
    x = 3,487,701.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.