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Finding the Third Proportional to 488,794.50 and 1,022,275.69

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Solution

The third proportional to 488,794.50 and 1,022,275.69 is: 2,138,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,794.50 : 1,022,275.69 = 1,022,275.69 : x
  2. Step 2: Convert to fraction form
    488,794.50/1,022,275.69 = 1,022,275.69/x
  3. Step 3: Cross multiply
    488,794.50x = 1,022,275.69 × 1,022,275.69
  4. Step 4: Simplify right side
    488,794.50x = 1,045,047,581,253.60
  5. Step 5: Solve for x
    x = 1,045,047,581,253.60/488,794.50
  6. Step 6: Final answer
    x = 2,138,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.