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Finding the Third Proportional to 1,456,947 and 2,280,521.25

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Solution

The third proportional to 1,456,947 and 2,280,521.25 is: 3,569,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,947 : 2,280,521.25 = 2,280,521.25 : x
  2. Step 2: Convert to fraction form
    1,456,947/2,280,521.25 = 2,280,521.25/x
  3. Step 3: Cross multiply
    1,456,947x = 2,280,521.25 × 2,280,521.25
  4. Step 4: Simplify right side
    1,456,947x = 5,200,777,171,701.56
  5. Step 5: Solve for x
    x = 5,200,777,171,701.56/1,456,947
  6. Step 6: Final answer
    x = 3,569,640.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.