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Finding the Third Proportional to 915,394 and 1,993,523

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Solution

The third proportional to 915,394 and 1,993,523 is: 4,341,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,394 : 1,993,523 = 1,993,523 : x
  2. Step 2: Convert to fraction form
    915,394/1,993,523 = 1,993,523/x
  3. Step 3: Cross multiply
    915,394x = 1,993,523 × 1,993,523
  4. Step 4: Simplify right side
    915,394x = 3,974,133,951,529
  5. Step 5: Solve for x
    x = 3,974,133,951,529/915,394
  6. Step 6: Final answer
    x = 4,341,446.36

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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.