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Finding the Third Proportional to 1,838,380.75 and 2,746,447

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Solution

The third proportional to 1,838,380.75 and 2,746,447 is: 4,103,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,380.75 : 2,746,447 = 2,746,447 : x
  2. Step 2: Convert to fraction form
    1,838,380.75/2,746,447 = 2,746,447/x
  3. Step 3: Cross multiply
    1,838,380.75x = 2,746,447 × 2,746,447
  4. Step 4: Simplify right side
    1,838,380.75x = 7,542,971,123,809
  5. Step 5: Solve for x
    x = 7,542,971,123,809/1,838,380.75
  6. Step 6: Final answer
    x = 4,103,051.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.