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Finding the Third Proportional to 1,033,116.75 and 2,412,501.25

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Solution

The third proportional to 1,033,116.75 and 2,412,501.25 is: 5,633,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,116.75 : 2,412,501.25 = 2,412,501.25 : x
  2. Step 2: Convert to fraction form
    1,033,116.75/2,412,501.25 = 2,412,501.25/x
  3. Step 3: Cross multiply
    1,033,116.75x = 2,412,501.25 × 2,412,501.25
  4. Step 4: Simplify right side
    1,033,116.75x = 5,820,162,281,251.56
  5. Step 5: Solve for x
    x = 5,820,162,281,251.56/1,033,116.75
  6. Step 6: Final answer
    x = 5,633,595.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.