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Finding the Third Proportional to 825,068.53 and 1,276,456.22

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Solution

The third proportional to 825,068.53 and 1,276,456.22 is: 1,974,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,068.53 : 1,276,456.22 = 1,276,456.22 : x
  2. Step 2: Convert to fraction form
    825,068.53/1,276,456.22 = 1,276,456.22/x
  3. Step 3: Cross multiply
    825,068.53x = 1,276,456.22 × 1,276,456.22
  4. Step 4: Simplify right side
    825,068.53x = 1,629,340,478,385.55
  5. Step 5: Solve for x
    x = 1,629,340,478,385.55/825,068.53
  6. Step 6: Final answer
    x = 1,974,794.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.