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Finding the Third Proportional to 680,859 and 1,024,228.13

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Solution

The third proportional to 680,859 and 1,024,228.13 is: 1,540,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,859 : 1,024,228.13 = 1,024,228.13 : x
  2. Step 2: Convert to fraction form
    680,859/1,024,228.13 = 1,024,228.13/x
  3. Step 3: Cross multiply
    680,859x = 1,024,228.13 × 1,024,228.13
  4. Step 4: Simplify right side
    680,859x = 1,049,043,252,041.02
  5. Step 5: Solve for x
    x = 1,049,043,252,041.02/680,859
  6. Step 6: Final answer
    x = 1,540,764.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.