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Finding the Third Proportional to 723,860 and 1,576,216

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Solution

The third proportional to 723,860 and 1,576,216 is: 3,432,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,860 : 1,576,216 = 1,576,216 : x
  2. Step 2: Convert to fraction form
    723,860/1,576,216 = 1,576,216/x
  3. Step 3: Cross multiply
    723,860x = 1,576,216 × 1,576,216
  4. Step 4: Simplify right side
    723,860x = 2,484,456,878,656
  5. Step 5: Solve for x
    x = 2,484,456,878,656/723,860
  6. Step 6: Final answer
    x = 3,432,233.97

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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.