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Finding the Third Proportional to 512,145.28 and 1,121,862.66

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Solution

The third proportional to 512,145.28 and 1,121,862.66 is: 2,457,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.28 : 1,121,862.66 = 1,121,862.66 : x
  2. Step 2: Convert to fraction form
    512,145.28/1,121,862.66 = 1,121,862.66/x
  3. Step 3: Cross multiply
    512,145.28x = 1,121,862.66 × 1,121,862.66
  4. Step 4: Simplify right side
    512,145.28x = 1,258,575,819,488.31
  5. Step 5: Solve for x
    x = 1,258,575,819,488.31/512,145.28
  6. Step 6: Final answer
    x = 2,457,458.59

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