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Finding the Third Proportional to 424,144 and 897,372

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Solution

The third proportional to 424,144 and 897,372 is: 1,898,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,144 : 897,372 = 897,372 : x
  2. Step 2: Convert to fraction form
    424,144/897,372 = 897,372/x
  3. Step 3: Cross multiply
    424,144x = 897,372 × 897,372
  4. Step 4: Simplify right side
    424,144x = 805,276,506,384
  5. Step 5: Solve for x
    x = 805,276,506,384/424,144
  6. Step 6: Final answer
    x = 1,898,592.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.