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Finding the Third Proportional to 424,122.75 and 908,115.75

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Solution

The third proportional to 424,122.75 and 908,115.75 is: 1,944,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,122.75 : 908,115.75 = 908,115.75 : x
  2. Step 2: Convert to fraction form
    424,122.75/908,115.75 = 908,115.75/x
  3. Step 3: Cross multiply
    424,122.75x = 908,115.75 × 908,115.75
  4. Step 4: Simplify right side
    424,122.75x = 824,674,215,398.06
  5. Step 5: Solve for x
    x = 824,674,215,398.06/424,122.75
  6. Step 6: Final answer
    x = 1,944,423.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.