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Finding the Third Proportional to 1,020,660.75 and 1,587,493.69

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Solution

The third proportional to 1,020,660.75 and 1,587,493.69 is: 2,469,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,660.75 : 1,587,493.69 = 1,587,493.69 : x
  2. Step 2: Convert to fraction form
    1,020,660.75/1,587,493.69 = 1,587,493.69/x
  3. Step 3: Cross multiply
    1,020,660.75x = 1,587,493.69 × 1,587,493.69
  4. Step 4: Simplify right side
    1,020,660.75x = 2,520,136,207,852.35
  5. Step 5: Solve for x
    x = 2,520,136,207,852.35/1,020,660.75
  6. Step 6: Final answer
    x = 2,469,122.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.