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Finding the Third Proportional to 890,868 and 1,942,534

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Solution

The third proportional to 890,868 and 1,942,534 is: 4,235,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,868 : 1,942,534 = 1,942,534 : x
  2. Step 2: Convert to fraction form
    890,868/1,942,534 = 1,942,534/x
  3. Step 3: Cross multiply
    890,868x = 1,942,534 × 1,942,534
  4. Step 4: Simplify right side
    890,868x = 3,773,438,341,156
  5. Step 5: Solve for x
    x = 3,773,438,341,156/890,868
  6. Step 6: Final answer
    x = 4,235,687.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.