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Finding the Third Proportional to 456,614.16 and 991,037.53

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Solution

The third proportional to 456,614.16 and 991,037.53 is: 2,150,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,614.16 : 991,037.53 = 991,037.53 : x
  2. Step 2: Convert to fraction form
    456,614.16/991,037.53 = 991,037.53/x
  3. Step 3: Cross multiply
    456,614.16x = 991,037.53 × 991,037.53
  4. Step 4: Simplify right side
    456,614.16x = 982,155,388,346.10
  5. Step 5: Solve for x
    x = 982,155,388,346.10/456,614.16
  6. Step 6: Final answer
    x = 2,150,952.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.