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Finding the Third Proportional to 862,714 and 1,874,466

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Solution

The third proportional to 862,714 and 1,874,466 is: 4,072,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,714 : 1,874,466 = 1,874,466 : x
  2. Step 2: Convert to fraction form
    862,714/1,874,466 = 1,874,466/x
  3. Step 3: Cross multiply
    862,714x = 1,874,466 × 1,874,466
  4. Step 4: Simplify right side
    862,714x = 3,513,622,785,156
  5. Step 5: Solve for x
    x = 3,513,622,785,156/862,714
  6. Step 6: Final answer
    x = 4,072,755.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.