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Finding the Third Proportional to 419,392 and 897,559

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Solution

The third proportional to 419,392 and 897,559 is: 1,920,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,392 : 897,559 = 897,559 : x
  2. Step 2: Convert to fraction form
    419,392/897,559 = 897,559/x
  3. Step 3: Cross multiply
    419,392x = 897,559 × 897,559
  4. Step 4: Simplify right side
    419,392x = 805,612,158,481
  5. Step 5: Solve for x
    x = 805,612,158,481/419,392
  6. Step 6: Final answer
    x = 1,920,904.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.