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Finding the Third Proportional to 1,257,758 and 2,714,671

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Solution

The third proportional to 1,257,758 and 2,714,671 is: 5,859,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,758 : 2,714,671 = 2,714,671 : x
  2. Step 2: Convert to fraction form
    1,257,758/2,714,671 = 2,714,671/x
  3. Step 3: Cross multiply
    1,257,758x = 2,714,671 × 2,714,671
  4. Step 4: Simplify right side
    1,257,758x = 7,369,438,638,241
  5. Step 5: Solve for x
    x = 7,369,438,638,241/1,257,758
  6. Step 6: Final answer
    x = 5,859,186.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.