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Finding the Third Proportional to 2,114,598 and 3,162,659

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Solution

The third proportional to 2,114,598 and 3,162,659 is: 4,730,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,598 : 3,162,659 = 3,162,659 : x
  2. Step 2: Convert to fraction form
    2,114,598/3,162,659 = 3,162,659/x
  3. Step 3: Cross multiply
    2,114,598x = 3,162,659 × 3,162,659
  4. Step 4: Simplify right side
    2,114,598x = 10,002,411,950,281
  5. Step 5: Solve for x
    x = 10,002,411,950,281/2,114,598
  6. Step 6: Final answer
    x = 4,730,171.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.