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Finding the Third Proportional to 2,409,478.50 and 5,238,861

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Solution

The third proportional to 2,409,478.50 and 5,238,861 is: 11,390,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,478.50 : 5,238,861 = 5,238,861 : x
  2. Step 2: Convert to fraction form
    2,409,478.50/5,238,861 = 5,238,861/x
  3. Step 3: Cross multiply
    2,409,478.50x = 5,238,861 × 5,238,861
  4. Step 4: Simplify right side
    2,409,478.50x = 27,445,664,577,321
  5. Step 5: Solve for x
    x = 27,445,664,577,321/2,409,478.50
  6. Step 6: Final answer
    x = 11,390,707.40

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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.