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Finding the Third Proportional to 409,526 and 897,785

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Solution

The third proportional to 409,526 and 897,785 is: 1,968,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,526 : 897,785 = 897,785 : x
  2. Step 2: Convert to fraction form
    409,526/897,785 = 897,785/x
  3. Step 3: Cross multiply
    409,526x = 897,785 × 897,785
  4. Step 4: Simplify right side
    409,526x = 806,017,906,225
  5. Step 5: Solve for x
    x = 806,017,906,225/409,526
  6. Step 6: Final answer
    x = 1,968,172.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.