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Finding the Third Proportional to 641,851 and 897,301

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Solution

The third proportional to 641,851 and 897,301 is: 1,254,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,851 : 897,301 = 897,301 : x
  2. Step 2: Convert to fraction form
    641,851/897,301 = 897,301/x
  3. Step 3: Cross multiply
    641,851x = 897,301 × 897,301
  4. Step 4: Simplify right side
    641,851x = 805,149,084,601
  5. Step 5: Solve for x
    x = 805,149,084,601/641,851
  6. Step 6: Final answer
    x = 1,254,417.43

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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.