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Finding the Third Proportional to 698,738 and 1,058,586

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Solution

The third proportional to 698,738 and 1,058,586 is: 1,603,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,738 : 1,058,586 = 1,058,586 : x
  2. Step 2: Convert to fraction form
    698,738/1,058,586 = 1,058,586/x
  3. Step 3: Cross multiply
    698,738x = 1,058,586 × 1,058,586
  4. Step 4: Simplify right side
    698,738x = 1,120,604,319,396
  5. Step 5: Solve for x
    x = 1,120,604,319,396/698,738
  6. Step 6: Final answer
    x = 1,603,754.65

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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.