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Finding the Third Proportional to 3,201,439 and 4,920,243

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Solution

The third proportional to 3,201,439 and 4,920,243 is: 7,561,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,439 : 4,920,243 = 4,920,243 : x
  2. Step 2: Convert to fraction form
    3,201,439/4,920,243 = 4,920,243/x
  3. Step 3: Cross multiply
    3,201,439x = 4,920,243 × 4,920,243
  4. Step 4: Simplify right side
    3,201,439x = 24,208,791,179,049
  5. Step 5: Solve for x
    x = 24,208,791,179,049/3,201,439
  6. Step 6: Final answer
    x = 7,561,846.78

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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.