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Finding the Third Proportional to 415,617 and 894,799.50

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Solution

The third proportional to 415,617 and 894,799.50 is: 1,926,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,617 : 894,799.50 = 894,799.50 : x
  2. Step 2: Convert to fraction form
    415,617/894,799.50 = 894,799.50/x
  3. Step 3: Cross multiply
    415,617x = 894,799.50 × 894,799.50
  4. Step 4: Simplify right side
    415,617x = 800,666,145,200.25
  5. Step 5: Solve for x
    x = 800,666,145,200.25/415,617
  6. Step 6: Final answer
    x = 1,926,451.87

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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.