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Finding the Third Proportional to 2,154,374 and 3,189,964

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Solution

The third proportional to 2,154,374 and 3,189,964 is: 4,723,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,374 : 3,189,964 = 3,189,964 : x
  2. Step 2: Convert to fraction form
    2,154,374/3,189,964 = 3,189,964/x
  3. Step 3: Cross multiply
    2,154,374x = 3,189,964 × 3,189,964
  4. Step 4: Simplify right side
    2,154,374x = 10,175,870,321,296
  5. Step 5: Solve for x
    x = 10,175,870,321,296/2,154,374
  6. Step 6: Final answer
    x = 4,723,353.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.