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Finding the Third Proportional to 720,264 and 1,543,223

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Solution

The third proportional to 720,264 and 1,543,223 is: 3,306,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,264 : 1,543,223 = 1,543,223 : x
  2. Step 2: Convert to fraction form
    720,264/1,543,223 = 1,543,223/x
  3. Step 3: Cross multiply
    720,264x = 1,543,223 × 1,543,223
  4. Step 4: Simplify right side
    720,264x = 2,381,537,227,729
  5. Step 5: Solve for x
    x = 2,381,537,227,729/720,264
  6. Step 6: Final answer
    x = 3,306,478.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.