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Finding the Third Proportional to 480,123 and 1,034,680

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Solution

The third proportional to 480,123 and 1,034,680 is: 2,229,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,123 : 1,034,680 = 1,034,680 : x
  2. Step 2: Convert to fraction form
    480,123/1,034,680 = 1,034,680/x
  3. Step 3: Cross multiply
    480,123x = 1,034,680 × 1,034,680
  4. Step 4: Simplify right side
    480,123x = 1,070,562,702,400
  5. Step 5: Solve for x
    x = 1,070,562,702,400/480,123
  6. Step 6: Final answer
    x = 2,229,767.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.