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Finding the Third Proportional to 605,882 and 897,124

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Solution

The third proportional to 605,882 and 897,124 is: 1,328,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,882 : 897,124 = 897,124 : x
  2. Step 2: Convert to fraction form
    605,882/897,124 = 897,124/x
  3. Step 3: Cross multiply
    605,882x = 897,124 × 897,124
  4. Step 4: Simplify right side
    605,882x = 804,831,471,376
  5. Step 5: Solve for x
    x = 804,831,471,376/605,882
  6. Step 6: Final answer
    x = 1,328,363.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.