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Finding the Third Proportional to 729,017 and 1,569,789

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Solution

The third proportional to 729,017 and 1,569,789 is: 3,380,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,017 : 1,569,789 = 1,569,789 : x
  2. Step 2: Convert to fraction form
    729,017/1,569,789 = 1,569,789/x
  3. Step 3: Cross multiply
    729,017x = 1,569,789 × 1,569,789
  4. Step 4: Simplify right side
    729,017x = 2,464,237,504,521
  5. Step 5: Solve for x
    x = 2,464,237,504,521/729,017
  6. Step 6: Final answer
    x = 3,380,219.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.