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Finding the Third Proportional to 1,750,125 and 2,699,856

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Solution

The third proportional to 1,750,125 and 2,699,856 is: 4,164,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750,125 : 2,699,856 = 2,699,856 : x
  2. Step 2: Convert to fraction form
    1,750,125/2,699,856 = 2,699,856/x
  3. Step 3: Cross multiply
    1,750,125x = 2,699,856 × 2,699,856
  4. Step 4: Simplify right side
    1,750,125x = 7,289,222,420,736
  5. Step 5: Solve for x
    x = 7,289,222,420,736/1,750,125
  6. Step 6: Final answer
    x = 4,164,972.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.