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Finding the Third Proportional to 2,587,665 and 5,615,160

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Solution

The third proportional to 2,587,665 and 5,615,160 is: 12,184,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,665 : 5,615,160 = 5,615,160 : x
  2. Step 2: Convert to fraction form
    2,587,665/5,615,160 = 5,615,160/x
  3. Step 3: Cross multiply
    2,587,665x = 5,615,160 × 5,615,160
  4. Step 4: Simplify right side
    2,587,665x = 31,530,021,825,600
  5. Step 5: Solve for x
    x = 31,530,021,825,600/2,587,665
  6. Step 6: Final answer
    x = 12,184,738.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.