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Finding the Third Proportional to 840,462 and 1,257,723

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Solution

The third proportional to 840,462 and 1,257,723 is: 1,882,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,462 : 1,257,723 = 1,257,723 : x
  2. Step 2: Convert to fraction form
    840,462/1,257,723 = 1,257,723/x
  3. Step 3: Cross multiply
    840,462x = 1,257,723 × 1,257,723
  4. Step 4: Simplify right side
    840,462x = 1,581,867,144,729
  5. Step 5: Solve for x
    x = 1,581,867,144,729/840,462
  6. Step 6: Final answer
    x = 1,882,140.00

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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.