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Finding the Third Proportional to 692,469 and 1,035,935

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Solution

The third proportional to 692,469 and 1,035,935 is: 1,549,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,469 : 1,035,935 = 1,035,935 : x
  2. Step 2: Convert to fraction form
    692,469/1,035,935 = 1,035,935/x
  3. Step 3: Cross multiply
    692,469x = 1,035,935 × 1,035,935
  4. Step 4: Simplify right side
    692,469x = 1,073,161,324,225
  5. Step 5: Solve for x
    x = 1,073,161,324,225/692,469
  6. Step 6: Final answer
    x = 1,549,760.82

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