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Finding the Third Proportional to 1,767,976 and 3,870,320

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Solution

The third proportional to 1,767,976 and 3,870,320 is: 8,472,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,976 : 3,870,320 = 3,870,320 : x
  2. Step 2: Convert to fraction form
    1,767,976/3,870,320 = 3,870,320/x
  3. Step 3: Cross multiply
    1,767,976x = 3,870,320 × 3,870,320
  4. Step 4: Simplify right side
    1,767,976x = 14,979,376,902,400
  5. Step 5: Solve for x
    x = 14,979,376,902,400/1,767,976
  6. Step 6: Final answer
    x = 8,472,613.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.