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Finding the Third Proportional to 701,657 and 1,058,800

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Solution

The third proportional to 701,657 and 1,058,800 is: 1,597,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,657 : 1,058,800 = 1,058,800 : x
  2. Step 2: Convert to fraction form
    701,657/1,058,800 = 1,058,800/x
  3. Step 3: Cross multiply
    701,657x = 1,058,800 × 1,058,800
  4. Step 4: Simplify right side
    701,657x = 1,121,057,440,000
  5. Step 5: Solve for x
    x = 1,121,057,440,000/701,657
  6. Step 6: Final answer
    x = 1,597,728.58

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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.