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Finding the Third Proportional to 485,031 and 1,001,199.50

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Solution

The third proportional to 485,031 and 1,001,199.50 is: 2,066,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,031 : 1,001,199.50 = 1,001,199.50 : x
  2. Step 2: Convert to fraction form
    485,031/1,001,199.50 = 1,001,199.50/x
  3. Step 3: Cross multiply
    485,031x = 1,001,199.50 × 1,001,199.50
  4. Step 4: Simplify right side
    485,031x = 1,002,400,438,800.25
  5. Step 5: Solve for x
    x = 1,002,400,438,800.25/485,031
  6. Step 6: Final answer
    x = 2,066,672.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.