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Finding the Third Proportional to 743,264 and 1,121,860

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Solution

The third proportional to 743,264 and 1,121,860 is: 1,693,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,264 : 1,121,860 = 1,121,860 : x
  2. Step 2: Convert to fraction form
    743,264/1,121,860 = 1,121,860/x
  3. Step 3: Cross multiply
    743,264x = 1,121,860 × 1,121,860
  4. Step 4: Simplify right side
    743,264x = 1,258,569,859,600
  5. Step 5: Solve for x
    x = 1,258,569,859,600/743,264
  6. Step 6: Final answer
    x = 1,693,301.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.