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Finding the Third Proportional to 732,920 and 1,121,178

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Solution

The third proportional to 732,920 and 1,121,178 is: 1,715,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,920 : 1,121,178 = 1,121,178 : x
  2. Step 2: Convert to fraction form
    732,920/1,121,178 = 1,121,178/x
  3. Step 3: Cross multiply
    732,920x = 1,121,178 × 1,121,178
  4. Step 4: Simplify right side
    732,920x = 1,257,040,107,684
  5. Step 5: Solve for x
    x = 1,257,040,107,684/732,920
  6. Step 6: Final answer
    x = 1,715,112.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.