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Finding the Third Proportional to 699,100 and 1,052,110

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Solution

The third proportional to 699,100 and 1,052,110 is: 1,583,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,100 : 1,052,110 = 1,052,110 : x
  2. Step 2: Convert to fraction form
    699,100/1,052,110 = 1,052,110/x
  3. Step 3: Cross multiply
    699,100x = 1,052,110 × 1,052,110
  4. Step 4: Simplify right side
    699,100x = 1,106,935,452,100
  5. Step 5: Solve for x
    x = 1,106,935,452,100/699,100
  6. Step 6: Final answer
    x = 1,583,372.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.