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Finding the Third Proportional to 650,613 and 1,409,811

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Solution

The third proportional to 650,613 and 1,409,811 is: 3,054,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,613 : 1,409,811 = 1,409,811 : x
  2. Step 2: Convert to fraction form
    650,613/1,409,811 = 1,409,811/x
  3. Step 3: Cross multiply
    650,613x = 1,409,811 × 1,409,811
  4. Step 4: Simplify right side
    650,613x = 1,987,567,055,721
  5. Step 5: Solve for x
    x = 1,987,567,055,721/650,613
  6. Step 6: Final answer
    x = 3,054,914.45

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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.