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Finding the Third Proportional to 492,115.50 and 1,073,169

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Solution

The third proportional to 492,115.50 and 1,073,169 is: 2,340,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,115.50 : 1,073,169 = 1,073,169 : x
  2. Step 2: Convert to fraction form
    492,115.50/1,073,169 = 1,073,169/x
  3. Step 3: Cross multiply
    492,115.50x = 1,073,169 × 1,073,169
  4. Step 4: Simplify right side
    492,115.50x = 1,151,691,702,561
  5. Step 5: Solve for x
    x = 1,151,691,702,561/492,115.50
  6. Step 6: Final answer
    x = 2,340,287.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.