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Finding the Third Proportional to 1,993,473 and 2,989,561

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Solution

The third proportional to 1,993,473 and 2,989,561 is: 4,483,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,473 : 2,989,561 = 2,989,561 : x
  2. Step 2: Convert to fraction form
    1,993,473/2,989,561 = 2,989,561/x
  3. Step 3: Cross multiply
    1,993,473x = 2,989,561 × 2,989,561
  4. Step 4: Simplify right side
    1,993,473x = 8,937,474,972,721
  5. Step 5: Solve for x
    x = 8,937,474,972,721/1,993,473
  6. Step 6: Final answer
    x = 4,483,368.96

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Why These Related Problems?

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