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Finding the Third Proportional to 786,985 and 930,690

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Solution

The third proportional to 786,985 and 930,690 is: 1,100,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,985 : 930,690 = 930,690 : x
  2. Step 2: Convert to fraction form
    786,985/930,690 = 930,690/x
  3. Step 3: Cross multiply
    786,985x = 930,690 × 930,690
  4. Step 4: Simplify right side
    786,985x = 866,183,876,100
  5. Step 5: Solve for x
    x = 866,183,876,100/786,985
  6. Step 6: Final answer
    x = 1,100,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.