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Finding the Third Proportional to 701,624 and 1,058,781

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Solution

The third proportional to 701,624 and 1,058,781 is: 1,597,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,624 : 1,058,781 = 1,058,781 : x
  2. Step 2: Convert to fraction form
    701,624/1,058,781 = 1,058,781/x
  3. Step 3: Cross multiply
    701,624x = 1,058,781 × 1,058,781
  4. Step 4: Simplify right side
    701,624x = 1,121,017,205,961
  5. Step 5: Solve for x
    x = 1,121,017,205,961/701,624
  6. Step 6: Final answer
    x = 1,597,746.38

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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.