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Finding the Third Proportional to 723,689 and 1,546,972

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Solution

The third proportional to 723,689 and 1,546,972 is: 3,306,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,689 : 1,546,972 = 1,546,972 : x
  2. Step 2: Convert to fraction form
    723,689/1,546,972 = 1,546,972/x
  3. Step 3: Cross multiply
    723,689x = 1,546,972 × 1,546,972
  4. Step 4: Simplify right side
    723,689x = 2,393,122,368,784
  5. Step 5: Solve for x
    x = 2,393,122,368,784/723,689
  6. Step 6: Final answer
    x = 3,306,838.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.