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Finding the Third Proportional to 410,858 and 897,340

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Solution

The third proportional to 410,858 and 897,340 is: 1,959,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858 : 897,340 = 897,340 : x
  2. Step 2: Convert to fraction form
    410,858/897,340 = 897,340/x
  3. Step 3: Cross multiply
    410,858x = 897,340 × 897,340
  4. Step 4: Simplify right side
    410,858x = 805,219,075,600
  5. Step 5: Solve for x
    x = 805,219,075,600/410,858
  6. Step 6: Final answer
    x = 1,959,847.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.