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Finding the Third Proportional to 426,036.38 and 926,808.75

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Solution

The third proportional to 426,036.38 and 926,808.75 is: 2,016,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,036.38 : 926,808.75 = 926,808.75 : x
  2. Step 2: Convert to fraction form
    426,036.38/926,808.75 = 926,808.75/x
  3. Step 3: Cross multiply
    426,036.38x = 926,808.75 × 926,808.75
  4. Step 4: Simplify right side
    426,036.38x = 858,974,459,076.56
  5. Step 5: Solve for x
    x = 858,974,459,076.56/426,036.38
  6. Step 6: Final answer
    x = 2,016,199.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.