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Finding the Third Proportional to 2,073,491 and 4,312,464

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Solution

The third proportional to 2,073,491 and 4,312,464 is: 8,969,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,491 : 4,312,464 = 4,312,464 : x
  2. Step 2: Convert to fraction form
    2,073,491/4,312,464 = 4,312,464/x
  3. Step 3: Cross multiply
    2,073,491x = 4,312,464 × 4,312,464
  4. Step 4: Simplify right side
    2,073,491x = 18,597,345,751,296
  5. Step 5: Solve for x
    x = 18,597,345,751,296/2,073,491
  6. Step 6: Final answer
    x = 8,969,098.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.