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Finding the Third Proportional to 508,286 and 1,105,096

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Solution

The third proportional to 508,286 and 1,105,096 is: 2,402,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,286 : 1,105,096 = 1,105,096 : x
  2. Step 2: Convert to fraction form
    508,286/1,105,096 = 1,105,096/x
  3. Step 3: Cross multiply
    508,286x = 1,105,096 × 1,105,096
  4. Step 4: Simplify right side
    508,286x = 1,221,237,169,216
  5. Step 5: Solve for x
    x = 1,221,237,169,216/508,286
  6. Step 6: Final answer
    x = 2,402,657.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.