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Finding the Third Proportional to 1,010,287.69 and 1,374,187.78

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Solution

The third proportional to 1,010,287.69 and 1,374,187.78 is: 1,869,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,287.69 : 1,374,187.78 = 1,374,187.78 : x
  2. Step 2: Convert to fraction form
    1,010,287.69/1,374,187.78 = 1,374,187.78/x
  3. Step 3: Cross multiply
    1,010,287.69x = 1,374,187.78 × 1,374,187.78
  4. Step 4: Simplify right side
    1,010,287.69x = 1,888,392,058,136.80
  5. Step 5: Solve for x
    x = 1,888,392,058,136.80/1,010,287.69
  6. Step 6: Final answer
    x = 1,869,162.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.