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Finding the Third Proportional to 631,974 and 1,352,523

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Solution

The third proportional to 631,974 and 1,352,523 is: 2,894,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,974 : 1,352,523 = 1,352,523 : x
  2. Step 2: Convert to fraction form
    631,974/1,352,523 = 1,352,523/x
  3. Step 3: Cross multiply
    631,974x = 1,352,523 × 1,352,523
  4. Step 4: Simplify right side
    631,974x = 1,829,318,465,529
  5. Step 5: Solve for x
    x = 1,829,318,465,529/631,974
  6. Step 6: Final answer
    x = 2,894,610.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.