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Finding the Third Proportional to 1,031,238 and 2,220,459.75

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Solution

The third proportional to 1,031,238 and 2,220,459.75 is: 4,781,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,238 : 2,220,459.75 = 2,220,459.75 : x
  2. Step 2: Convert to fraction form
    1,031,238/2,220,459.75 = 2,220,459.75/x
  3. Step 3: Cross multiply
    1,031,238x = 2,220,459.75 × 2,220,459.75
  4. Step 4: Simplify right side
    1,031,238x = 4,930,441,501,370.06
  5. Step 5: Solve for x
    x = 4,930,441,501,370.06/1,031,238
  6. Step 6: Final answer
    x = 4,781,089.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.