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Finding the Third Proportional to 976,358.81 and 2,000,284.88

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Solution

The third proportional to 976,358.81 and 2,000,284.88 is: 4,098,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,358.81 : 2,000,284.88 = 2,000,284.88 : x
  2. Step 2: Convert to fraction form
    976,358.81/2,000,284.88 = 2,000,284.88/x
  3. Step 3: Cross multiply
    976,358.81x = 2,000,284.88 × 2,000,284.88
  4. Step 4: Simplify right side
    976,358.81x = 4,001,139,581,153.77
  5. Step 5: Solve for x
    x = 4,001,139,581,153.77/976,358.81
  6. Step 6: Final answer
    x = 4,098,021.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.