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Finding the Third Proportional to 2,081,666.50 and 4,438,166

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Solution

The third proportional to 2,081,666.50 and 4,438,166 is: 9,462,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,666.50 : 4,438,166 = 4,438,166 : x
  2. Step 2: Convert to fraction form
    2,081,666.50/4,438,166 = 4,438,166/x
  3. Step 3: Cross multiply
    2,081,666.50x = 4,438,166 × 4,438,166
  4. Step 4: Simplify right side
    2,081,666.50x = 19,697,317,443,556
  5. Step 5: Solve for x
    x = 19,697,317,443,556/2,081,666.50
  6. Step 6: Final answer
    x = 9,462,282.96

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Why These Related Problems?

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