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Finding the Third Proportional to 688,443.68 and 1,471,611.80

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Solution

The third proportional to 688,443.68 and 1,471,611.80 is: 3,145,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,443.68 : 1,471,611.80 = 1,471,611.80 : x
  2. Step 2: Convert to fraction form
    688,443.68/1,471,611.80 = 1,471,611.80/x
  3. Step 3: Cross multiply
    688,443.68x = 1,471,611.80 × 1,471,611.80
  4. Step 4: Simplify right side
    688,443.68x = 2,165,641,280,701.67
  5. Step 5: Solve for x
    x = 2,165,641,280,701.67/688,443.68
  6. Step 6: Final answer
    x = 3,145,705.81

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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.