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Finding the Third Proportional to 3,004,209 and 6,491,754

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Solution

The third proportional to 3,004,209 and 6,491,754 is: 14,027,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,209 : 6,491,754 = 6,491,754 : x
  2. Step 2: Convert to fraction form
    3,004,209/6,491,754 = 6,491,754/x
  3. Step 3: Cross multiply
    3,004,209x = 6,491,754 × 6,491,754
  4. Step 4: Simplify right side
    3,004,209x = 42,142,869,996,516
  5. Step 5: Solve for x
    x = 42,142,869,996,516/3,004,209
  6. Step 6: Final answer
    x = 14,027,942.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.