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Finding the Third Proportional to 426,642.38 and 916,599.38

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Solution

The third proportional to 426,642.38 and 916,599.38 is: 1,969,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,642.38 : 916,599.38 = 916,599.38 : x
  2. Step 2: Convert to fraction form
    426,642.38/916,599.38 = 916,599.38/x
  3. Step 3: Cross multiply
    426,642.38x = 916,599.38 × 916,599.38
  4. Step 4: Simplify right side
    426,642.38x = 840,154,414,250.39
  5. Step 5: Solve for x
    x = 840,154,414,250.39/426,642.38
  6. Step 6: Final answer
    x = 1,969,224.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.