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Finding the Third Proportional to 844,184 and 1,209,279

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Solution

The third proportional to 844,184 and 1,209,279 is: 1,732,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,184 : 1,209,279 = 1,209,279 : x
  2. Step 2: Convert to fraction form
    844,184/1,209,279 = 1,209,279/x
  3. Step 3: Cross multiply
    844,184x = 1,209,279 × 1,209,279
  4. Step 4: Simplify right side
    844,184x = 1,462,355,699,841
  5. Step 5: Solve for x
    x = 1,462,355,699,841/844,184
  6. Step 6: Final answer
    x = 1,732,271.28

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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.