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Finding the Third Proportional to 1,663,972 and 2,569,320

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Solution

The third proportional to 1,663,972 and 2,569,320 is: 3,967,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,972 : 2,569,320 = 2,569,320 : x
  2. Step 2: Convert to fraction form
    1,663,972/2,569,320 = 2,569,320/x
  3. Step 3: Cross multiply
    1,663,972x = 2,569,320 × 2,569,320
  4. Step 4: Simplify right side
    1,663,972x = 6,601,405,262,400
  5. Step 5: Solve for x
    x = 6,601,405,262,400/1,663,972
  6. Step 6: Final answer
    x = 3,967,257.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.