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Finding the Third Proportional to 758,902 and 1,616,120

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Solution

The third proportional to 758,902 and 1,616,120 is: 3,441,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,902 : 1,616,120 = 1,616,120 : x
  2. Step 2: Convert to fraction form
    758,902/1,616,120 = 1,616,120/x
  3. Step 3: Cross multiply
    758,902x = 1,616,120 × 1,616,120
  4. Step 4: Simplify right side
    758,902x = 2,611,843,854,400
  5. Step 5: Solve for x
    x = 2,611,843,854,400/758,902
  6. Step 6: Final answer
    x = 3,441,608.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.