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Finding the Third Proportional to 415,571 and 897,580

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Solution

The third proportional to 415,571 and 897,580 is: 1,938,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,571 : 897,580 = 897,580 : x
  2. Step 2: Convert to fraction form
    415,571/897,580 = 897,580/x
  3. Step 3: Cross multiply
    415,571x = 897,580 × 897,580
  4. Step 4: Simplify right side
    415,571x = 805,649,856,400
  5. Step 5: Solve for x
    x = 805,649,856,400/415,571
  6. Step 6: Final answer
    x = 1,938,657.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.