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Finding the Third Proportional to 701,397 and 1,534,040

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Solution

The third proportional to 701,397 and 1,534,040 is: 3,355,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,397 : 1,534,040 = 1,534,040 : x
  2. Step 2: Convert to fraction form
    701,397/1,534,040 = 1,534,040/x
  3. Step 3: Cross multiply
    701,397x = 1,534,040 × 1,534,040
  4. Step 4: Simplify right side
    701,397x = 2,353,278,721,600
  5. Step 5: Solve for x
    x = 2,353,278,721,600/701,397
  6. Step 6: Final answer
    x = 3,355,130.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.