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Finding the Third Proportional to 723,856 and 1,576,208

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Solution

The third proportional to 723,856 and 1,576,208 is: 3,432,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,856 : 1,576,208 = 1,576,208 : x
  2. Step 2: Convert to fraction form
    723,856/1,576,208 = 1,576,208/x
  3. Step 3: Cross multiply
    723,856x = 1,576,208 × 1,576,208
  4. Step 4: Simplify right side
    723,856x = 2,484,431,659,264
  5. Step 5: Solve for x
    x = 2,484,431,659,264/723,856
  6. Step 6: Final answer
    x = 3,432,218.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.