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Finding the Third Proportional to 425,098 and 898,182

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Solution

The third proportional to 425,098 and 898,182 is: 1,897,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,098 : 898,182 = 898,182 : x
  2. Step 2: Convert to fraction form
    425,098/898,182 = 898,182/x
  3. Step 3: Cross multiply
    425,098x = 898,182 × 898,182
  4. Step 4: Simplify right side
    425,098x = 806,730,905,124
  5. Step 5: Solve for x
    x = 806,730,905,124/425,098
  6. Step 6: Final answer
    x = 1,897,752.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.