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Finding the Third Proportional to 912,561 and 2,112,523

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Solution

The third proportional to 912,561 and 2,112,523 is: 4,890,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,561 : 2,112,523 = 2,112,523 : x
  2. Step 2: Convert to fraction form
    912,561/2,112,523 = 2,112,523/x
  3. Step 3: Cross multiply
    912,561x = 2,112,523 × 2,112,523
  4. Step 4: Simplify right side
    912,561x = 4,462,753,425,529
  5. Step 5: Solve for x
    x = 4,462,753,425,529/912,561
  6. Step 6: Final answer
    x = 4,890,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.