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Finding the Third Proportional to 638,804 and 988,957

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Solution

The third proportional to 638,804 and 988,957 is: 1,531,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,804 : 988,957 = 988,957 : x
  2. Step 2: Convert to fraction form
    638,804/988,957 = 988,957/x
  3. Step 3: Cross multiply
    638,804x = 988,957 × 988,957
  4. Step 4: Simplify right side
    638,804x = 978,035,947,849
  5. Step 5: Solve for x
    x = 978,035,947,849/638,804
  6. Step 6: Final answer
    x = 1,531,042.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.