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Finding the Third Proportional to 625,851.56 and 1,340,253.84

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Solution

The third proportional to 625,851.56 and 1,340,253.84 is: 2,870,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,851.56 : 1,340,253.84 = 1,340,253.84 : x
  2. Step 2: Convert to fraction form
    625,851.56/1,340,253.84 = 1,340,253.84/x
  3. Step 3: Cross multiply
    625,851.56x = 1,340,253.84 × 1,340,253.84
  4. Step 4: Simplify right side
    625,851.56x = 1,796,280,365,686.65
  5. Step 5: Solve for x
    x = 1,796,280,365,686.65/625,851.56
  6. Step 6: Final answer
    x = 2,870,138.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.