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Finding the Third Proportional to 976,878.50 and 2,082,788.50

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Solution

The third proportional to 976,878.50 and 2,082,788.50 is: 4,440,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,878.50 : 2,082,788.50 = 2,082,788.50 : x
  2. Step 2: Convert to fraction form
    976,878.50/2,082,788.50 = 2,082,788.50/x
  3. Step 3: Cross multiply
    976,878.50x = 2,082,788.50 × 2,082,788.50
  4. Step 4: Simplify right side
    976,878.50x = 4,338,007,935,732.25
  5. Step 5: Solve for x
    x = 4,338,007,935,732.25/976,878.50
  6. Step 6: Final answer
    x = 4,440,683.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.