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Finding the Third Proportional to 2,576,784 and 5,486,208

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Solution

The third proportional to 2,576,784 and 5,486,208 is: 11,680,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,784 : 5,486,208 = 5,486,208 : x
  2. Step 2: Convert to fraction form
    2,576,784/5,486,208 = 5,486,208/x
  3. Step 3: Cross multiply
    2,576,784x = 5,486,208 × 5,486,208
  4. Step 4: Simplify right side
    2,576,784x = 30,098,478,219,264
  5. Step 5: Solve for x
    x = 30,098,478,219,264/2,576,784
  6. Step 6: Final answer
    x = 11,680,636.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.