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Finding the Third Proportional to 732,920 and 1,121,176

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Solution

The third proportional to 732,920 and 1,121,176 is: 1,715,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,920 : 1,121,176 = 1,121,176 : x
  2. Step 2: Convert to fraction form
    732,920/1,121,176 = 1,121,176/x
  3. Step 3: Cross multiply
    732,920x = 1,121,176 × 1,121,176
  4. Step 4: Simplify right side
    732,920x = 1,257,035,622,976
  5. Step 5: Solve for x
    x = 1,257,035,622,976/732,920
  6. Step 6: Final answer
    x = 1,715,106.18

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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.