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Finding the Third Proportional to 404,901 and 868,714

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Solution

The third proportional to 404,901 and 868,714 is: 1,863,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,901 : 868,714 = 868,714 : x
  2. Step 2: Convert to fraction form
    404,901/868,714 = 868,714/x
  3. Step 3: Cross multiply
    404,901x = 868,714 × 868,714
  4. Step 4: Simplify right side
    404,901x = 754,664,013,796
  5. Step 5: Solve for x
    x = 754,664,013,796/404,901
  6. Step 6: Final answer
    x = 1,863,823.54

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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.