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Finding the Third Proportional to 703,218 and 1,041,675

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Solution

The third proportional to 703,218 and 1,041,675 is: 1,543,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,218 : 1,041,675 = 1,041,675 : x
  2. Step 2: Convert to fraction form
    703,218/1,041,675 = 1,041,675/x
  3. Step 3: Cross multiply
    703,218x = 1,041,675 × 1,041,675
  4. Step 4: Simplify right side
    703,218x = 1,085,086,805,625
  5. Step 5: Solve for x
    x = 1,085,086,805,625/703,218
  6. Step 6: Final answer
    x = 1,543,030.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.