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Finding the Third Proportional to 485,030 and 1,001,197.50

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Solution

The third proportional to 485,030 and 1,001,197.50 is: 2,066,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,030 : 1,001,197.50 = 1,001,197.50 : x
  2. Step 2: Convert to fraction form
    485,030/1,001,197.50 = 1,001,197.50/x
  3. Step 3: Cross multiply
    485,030x = 1,001,197.50 × 1,001,197.50
  4. Step 4: Simplify right side
    485,030x = 1,002,396,434,006.25
  5. Step 5: Solve for x
    x = 1,002,396,434,006.25/485,030
  6. Step 6: Final answer
    x = 2,066,668.94

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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.