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Finding the Third Proportional to 641,841 and 897,287.81

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Solution

The third proportional to 641,841 and 897,287.81 is: 1,254,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,841 : 897,287.81 = 897,287.81 : x
  2. Step 2: Convert to fraction form
    641,841/897,287.81 = 897,287.81/x
  3. Step 3: Cross multiply
    641,841x = 897,287.81 × 897,287.81
  4. Step 4: Simplify right side
    641,841x = 805,125,418,461.04
  5. Step 5: Solve for x
    x = 805,125,418,461.04/641,841
  6. Step 6: Final answer
    x = 1,254,400.11

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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.