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Finding the Third Proportional to 2,519,753.06 and 3,891,023.16

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Solution

The third proportional to 2,519,753.06 and 3,891,023.16 is: 6,008,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,753.06 : 3,891,023.16 = 3,891,023.16 : x
  2. Step 2: Convert to fraction form
    2,519,753.06/3,891,023.16 = 3,891,023.16/x
  3. Step 3: Cross multiply
    2,519,753.06x = 3,891,023.16 × 3,891,023.16
  4. Step 4: Simplify right side
    2,519,753.06x = 15,140,061,202,473.71
  5. Step 5: Solve for x
    x = 15,140,061,202,473.71/2,519,753.06
  6. Step 6: Final answer
    x = 6,008,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.