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Finding the Third Proportional to 410,840 and 897,289

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Solution

The third proportional to 410,840 and 897,289 is: 1,959,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,840 : 897,289 = 897,289 : x
  2. Step 2: Convert to fraction form
    410,840/897,289 = 897,289/x
  3. Step 3: Cross multiply
    410,840x = 897,289 × 897,289
  4. Step 4: Simplify right side
    410,840x = 805,127,549,521
  5. Step 5: Solve for x
    x = 805,127,549,521/410,840
  6. Step 6: Final answer
    x = 1,959,710.71

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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.