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Finding the Third Proportional to 404,707,280 and 870,795,872

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Solution

The third proportional to 404,707,280 and 870,795,872 is: 1,873,663,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,707,280 : 870,795,872 = 870,795,872 : x
  2. Step 2: Convert to fraction form
    404,707,280/870,795,872 = 870,795,872/x
  3. Step 3: Cross multiply
    404,707,280x = 870,795,872 × 870,795,872
  4. Step 4: Simplify right side
    404,707,280x = 758,285,450,692,240,384
  5. Step 5: Solve for x
    x = 758,285,450,692,240,384/404,707,280
  6. Step 6: Final answer
    x = 1,873,663,974.35

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Why These Related Problems?

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