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Finding the Third Proportional to 2,786,911.31 and 3,924,609.47

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Solution

The third proportional to 2,786,911.31 and 3,924,609.47 is: 5,526,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,911.31 : 3,924,609.47 = 3,924,609.47 : x
  2. Step 2: Convert to fraction form
    2,786,911.31/3,924,609.47 = 3,924,609.47/x
  3. Step 3: Cross multiply
    2,786,911.31x = 3,924,609.47 × 3,924,609.47
  4. Step 4: Simplify right side
    2,786,911.31x = 15,402,559,482,202.16
  5. Step 5: Solve for x
    x = 15,402,559,482,202.16/2,786,911.31
  6. Step 6: Final answer
    x = 5,526,749.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.