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Finding the Third Proportional to 2,940,461 and 6,331,459

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Solution

The third proportional to 2,940,461 and 6,331,459 is: 13,633,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,461 : 6,331,459 = 6,331,459 : x
  2. Step 2: Convert to fraction form
    2,940,461/6,331,459 = 6,331,459/x
  3. Step 3: Cross multiply
    2,940,461x = 6,331,459 × 6,331,459
  4. Step 4: Simplify right side
    2,940,461x = 40,087,373,068,681
  5. Step 5: Solve for x
    x = 40,087,373,068,681/2,940,461
  6. Step 6: Final answer
    x = 13,633,023.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.