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Finding the Third Proportional to 698,742 and 1,058,592

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Solution

The third proportional to 698,742 and 1,058,592 is: 1,603,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,742 : 1,058,592 = 1,058,592 : x
  2. Step 2: Convert to fraction form
    698,742/1,058,592 = 1,058,592/x
  3. Step 3: Cross multiply
    698,742x = 1,058,592 × 1,058,592
  4. Step 4: Simplify right side
    698,742x = 1,120,617,022,464
  5. Step 5: Solve for x
    x = 1,120,617,022,464/698,742
  6. Step 6: Final answer
    x = 1,603,763.65

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