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Finding the Third Proportional to 976,394 and 2,057,764

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Solution

The third proportional to 976,394 and 2,057,764 is: 4,336,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,394 : 2,057,764 = 2,057,764 : x
  2. Step 2: Convert to fraction form
    976,394/2,057,764 = 2,057,764/x
  3. Step 3: Cross multiply
    976,394x = 2,057,764 × 2,057,764
  4. Step 4: Simplify right side
    976,394x = 4,234,392,679,696
  5. Step 5: Solve for x
    x = 4,234,392,679,696/976,394
  6. Step 6: Final answer
    x = 4,336,766.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.