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Finding the Third Proportional to 2,882,478 and 4,421,406

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Solution

The third proportional to 2,882,478 and 4,421,406 is: 6,781,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882,478 : 4,421,406 = 4,421,406 : x
  2. Step 2: Convert to fraction form
    2,882,478/4,421,406 = 4,421,406/x
  3. Step 3: Cross multiply
    2,882,478x = 4,421,406 × 4,421,406
  4. Step 4: Simplify right side
    2,882,478x = 19,548,831,016,836
  5. Step 5: Solve for x
    x = 19,548,831,016,836/2,882,478
  6. Step 6: Final answer
    x = 6,781,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.