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Finding the Third Proportional to 723,182 and 1,573,212

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Solution

The third proportional to 723,182 and 1,573,212 is: 3,422,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,182 : 1,573,212 = 1,573,212 : x
  2. Step 2: Convert to fraction form
    723,182/1,573,212 = 1,573,212/x
  3. Step 3: Cross multiply
    723,182x = 1,573,212 × 1,573,212
  4. Step 4: Simplify right side
    723,182x = 2,474,995,996,944
  5. Step 5: Solve for x
    x = 2,474,995,996,944/723,182
  6. Step 6: Final answer
    x = 3,422,369.47

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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.