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Finding the Third Proportional to 2,411,289 and 5,201,166

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Solution

The third proportional to 2,411,289 and 5,201,166 is: 11,218,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,289 : 5,201,166 = 5,201,166 : x
  2. Step 2: Convert to fraction form
    2,411,289/5,201,166 = 5,201,166/x
  3. Step 3: Cross multiply
    2,411,289x = 5,201,166 × 5,201,166
  4. Step 4: Simplify right side
    2,411,289x = 27,052,127,759,556
  5. Step 5: Solve for x
    x = 27,052,127,759,556/2,411,289
  6. Step 6: Final answer
    x = 11,218,948.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.