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Finding the Third Proportional to 641,660 and 897,052

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Solution

The third proportional to 641,660 and 897,052 is: 1,254,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,660 : 897,052 = 897,052 : x
  2. Step 2: Convert to fraction form
    641,660/897,052 = 897,052/x
  3. Step 3: Cross multiply
    641,660x = 897,052 × 897,052
  4. Step 4: Simplify right side
    641,660x = 804,702,290,704
  5. Step 5: Solve for x
    x = 804,702,290,704/641,660
  6. Step 6: Final answer
    x = 1,254,094.52

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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.