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Finding the Third Proportional to 1,024,548 and 2,206,920

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Solution

The third proportional to 1,024,548 and 2,206,920 is: 4,753,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,548 : 2,206,920 = 2,206,920 : x
  2. Step 2: Convert to fraction form
    1,024,548/2,206,920 = 2,206,920/x
  3. Step 3: Cross multiply
    1,024,548x = 2,206,920 × 2,206,920
  4. Step 4: Simplify right side
    1,024,548x = 4,870,495,886,400
  5. Step 5: Solve for x
    x = 4,870,495,886,400/1,024,548
  6. Step 6: Final answer
    x = 4,753,799.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.