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Finding the Third Proportional to 908,151.75 and 1,405,284.19

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Solution

The third proportional to 908,151.75 and 1,405,284.19 is: 2,174,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,151.75 : 1,405,284.19 = 1,405,284.19 : x
  2. Step 2: Convert to fraction form
    908,151.75/1,405,284.19 = 1,405,284.19/x
  3. Step 3: Cross multiply
    908,151.75x = 1,405,284.19 × 1,405,284.19
  4. Step 4: Simplify right side
    908,151.75x = 1,974,823,647,637.54
  5. Step 5: Solve for x
    x = 1,974,823,647,637.54/908,151.75
  6. Step 6: Final answer
    x = 2,174,552.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.