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Finding the Third Proportional to 492,318 and 1,159,110

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Solution

The third proportional to 492,318 and 1,159,110 is: 2,729,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,318 : 1,159,110 = 1,159,110 : x
  2. Step 2: Convert to fraction form
    492,318/1,159,110 = 1,159,110/x
  3. Step 3: Cross multiply
    492,318x = 1,159,110 × 1,159,110
  4. Step 4: Simplify right side
    492,318x = 1,343,535,992,100
  5. Step 5: Solve for x
    x = 1,343,535,992,100/492,318
  6. Step 6: Final answer
    x = 2,729,000.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.