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Finding the Third Proportional to 844,769 and 1,749,423

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Solution

The third proportional to 844,769 and 1,749,423 is: 3,622,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,769 : 1,749,423 = 1,749,423 : x
  2. Step 2: Convert to fraction form
    844,769/1,749,423 = 1,749,423/x
  3. Step 3: Cross multiply
    844,769x = 1,749,423 × 1,749,423
  4. Step 4: Simplify right side
    844,769x = 3,060,480,832,929
  5. Step 5: Solve for x
    x = 3,060,480,832,929/844,769
  6. Step 6: Final answer
    x = 3,622,861.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.