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Finding the Third Proportional to 538,602 and 835,121

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Solution

The third proportional to 538,602 and 835,121 is: 1,294,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,602 : 835,121 = 835,121 : x
  2. Step 2: Convert to fraction form
    538,602/835,121 = 835,121/x
  3. Step 3: Cross multiply
    538,602x = 835,121 × 835,121
  4. Step 4: Simplify right side
    538,602x = 697,427,084,641
  5. Step 5: Solve for x
    x = 697,427,084,641/538,602
  6. Step 6: Final answer
    x = 1,294,883.95

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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.