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Finding the Third Proportional to 393,988 and 870,920

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Solution

The third proportional to 393,988 and 870,920 is: 1,925,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,988 : 870,920 = 870,920 : x
  2. Step 2: Convert to fraction form
    393,988/870,920 = 870,920/x
  3. Step 3: Cross multiply
    393,988x = 870,920 × 870,920
  4. Step 4: Simplify right side
    393,988x = 758,501,646,400
  5. Step 5: Solve for x
    x = 758,501,646,400/393,988
  6. Step 6: Final answer
    x = 1,925,189.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.