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Finding the Third Proportional to 844,114 and 1,209,163

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Solution

The third proportional to 844,114 and 1,209,163 is: 1,732,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,114 : 1,209,163 = 1,209,163 : x
  2. Step 2: Convert to fraction form
    844,114/1,209,163 = 1,209,163/x
  3. Step 3: Cross multiply
    844,114x = 1,209,163 × 1,209,163
  4. Step 4: Simplify right side
    844,114x = 1,462,075,160,569
  5. Step 5: Solve for x
    x = 1,462,075,160,569/844,114
  6. Step 6: Final answer
    x = 1,732,082.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.