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Finding the Third Proportional to 416,102 and 897,254

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Solution

The third proportional to 416,102 and 897,254 is: 1,934,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,102 : 897,254 = 897,254 : x
  2. Step 2: Convert to fraction form
    416,102/897,254 = 897,254/x
  3. Step 3: Cross multiply
    416,102x = 897,254 × 897,254
  4. Step 4: Simplify right side
    416,102x = 805,064,740,516
  5. Step 5: Solve for x
    x = 805,064,740,516/416,102
  6. Step 6: Final answer
    x = 1,934,777.39

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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.