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Finding the Third Proportional to 844,463 and 1,307,085

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Solution

The third proportional to 844,463 and 1,307,085 is: 2,023,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,463 : 1,307,085 = 1,307,085 : x
  2. Step 2: Convert to fraction form
    844,463/1,307,085 = 1,307,085/x
  3. Step 3: Cross multiply
    844,463x = 1,307,085 × 1,307,085
  4. Step 4: Simplify right side
    844,463x = 1,708,471,197,225
  5. Step 5: Solve for x
    x = 1,708,471,197,225/844,463
  6. Step 6: Final answer
    x = 2,023,145.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.