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Finding the Third Proportional to 730,150.45 and 1,597,723.10

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Solution

The third proportional to 730,150.45 and 1,597,723.10 is: 3,496,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,150.45 : 1,597,723.10 = 1,597,723.10 : x
  2. Step 2: Convert to fraction form
    730,150.45/1,597,723.10 = 1,597,723.10/x
  3. Step 3: Cross multiply
    730,150.45x = 1,597,723.10 × 1,597,723.10
  4. Step 4: Simplify right side
    730,150.45x = 2,552,719,109,266.81
  5. Step 5: Solve for x
    x = 2,552,719,109,266.81/730,150.45
  6. Step 6: Final answer
    x = 3,496,154.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.