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Finding the Third Proportional to 605,886 and 938,121

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Solution

The third proportional to 605,886 and 938,121 is: 1,452,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,886 : 938,121 = 938,121 : x
  2. Step 2: Convert to fraction form
    605,886/938,121 = 938,121/x
  3. Step 3: Cross multiply
    605,886x = 938,121 × 938,121
  4. Step 4: Simplify right side
    605,886x = 880,071,010,641
  5. Step 5: Solve for x
    x = 880,071,010,641/605,886
  6. Step 6: Final answer
    x = 1,452,535.64

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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.