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Finding the Third Proportional to 409,594 and 897,917

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Solution

The third proportional to 409,594 and 897,917 is: 1,968,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,594 : 897,917 = 897,917 : x
  2. Step 2: Convert to fraction form
    409,594/897,917 = 897,917/x
  3. Step 3: Cross multiply
    409,594x = 897,917 × 897,917
  4. Step 4: Simplify right side
    409,594x = 806,254,938,889
  5. Step 5: Solve for x
    x = 806,254,938,889/409,594
  6. Step 6: Final answer
    x = 1,968,424.68

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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.