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Finding the Third Proportional to 2,839,932 and 4,289,466

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Solution

The third proportional to 2,839,932 and 4,289,466 is: 6,478,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,932 : 4,289,466 = 4,289,466 : x
  2. Step 2: Convert to fraction form
    2,839,932/4,289,466 = 4,289,466/x
  3. Step 3: Cross multiply
    2,839,932x = 4,289,466 × 4,289,466
  4. Step 4: Simplify right side
    2,839,932x = 18,399,518,565,156
  5. Step 5: Solve for x
    x = 18,399,518,565,156/2,839,932
  6. Step 6: Final answer
    x = 6,478,858.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.