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Finding the Third Proportional to 583,072 and 1,215,872

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Solution

The third proportional to 583,072 and 1,215,872 is: 2,535,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,072 : 1,215,872 = 1,215,872 : x
  2. Step 2: Convert to fraction form
    583,072/1,215,872 = 1,215,872/x
  3. Step 3: Cross multiply
    583,072x = 1,215,872 × 1,215,872
  4. Step 4: Simplify right side
    583,072x = 1,478,344,720,384
  5. Step 5: Solve for x
    x = 1,478,344,720,384/583,072
  6. Step 6: Final answer
    x = 2,535,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.