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Finding the Third Proportional to 454,319.72 and 991,152.28

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Solution

The third proportional to 454,319.72 and 991,152.28 is: 2,162,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,319.72 : 991,152.28 = 991,152.28 : x
  2. Step 2: Convert to fraction form
    454,319.72/991,152.28 = 991,152.28/x
  3. Step 3: Cross multiply
    454,319.72x = 991,152.28 × 991,152.28
  4. Step 4: Simplify right side
    454,319.72x = 982,382,844,627.08
  5. Step 5: Solve for x
    x = 982,382,844,627.08/454,319.72
  6. Step 6: Final answer
    x = 2,162,316.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.