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Finding the Third Proportional to 696,036 and 1,058,640

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Solution

The third proportional to 696,036 and 1,058,640 is: 1,610,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,036 : 1,058,640 = 1,058,640 : x
  2. Step 2: Convert to fraction form
    696,036/1,058,640 = 1,058,640/x
  3. Step 3: Cross multiply
    696,036x = 1,058,640 × 1,058,640
  4. Step 4: Simplify right side
    696,036x = 1,120,718,649,600
  5. Step 5: Solve for x
    x = 1,120,718,649,600/696,036
  6. Step 6: Final answer
    x = 1,610,144.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.