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Finding the Third Proportional to 743,470 and 1,181,631

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Solution

The third proportional to 743,470 and 1,181,631 is: 1,878,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,470 : 1,181,631 = 1,181,631 : x
  2. Step 2: Convert to fraction form
    743,470/1,181,631 = 1,181,631/x
  3. Step 3: Cross multiply
    743,470x = 1,181,631 × 1,181,631
  4. Step 4: Simplify right side
    743,470x = 1,396,251,820,161
  5. Step 5: Solve for x
    x = 1,396,251,820,161/743,470
  6. Step 6: Final answer
    x = 1,878,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.