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Finding the Third Proportional to 840,456 and 1,257,714

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Solution

The third proportional to 840,456 and 1,257,714 is: 1,882,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,456 : 1,257,714 = 1,257,714 : x
  2. Step 2: Convert to fraction form
    840,456/1,257,714 = 1,257,714/x
  3. Step 3: Cross multiply
    840,456x = 1,257,714 × 1,257,714
  4. Step 4: Simplify right side
    840,456x = 1,581,844,505,796
  5. Step 5: Solve for x
    x = 1,581,844,505,796/840,456
  6. Step 6: Final answer
    x = 1,882,126.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.