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Finding the Third Proportional to 641,650 and 897,040

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Solution

The third proportional to 641,650 and 897,040 is: 1,254,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,650 : 897,040 = 897,040 : x
  2. Step 2: Convert to fraction form
    641,650/897,040 = 897,040/x
  3. Step 3: Cross multiply
    641,650x = 897,040 × 897,040
  4. Step 4: Simplify right side
    641,650x = 804,680,761,600
  5. Step 5: Solve for x
    x = 804,680,761,600/641,650
  6. Step 6: Final answer
    x = 1,254,080.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.