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Finding the Third Proportional to 586,837 and 1,236,721

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Solution

The third proportional to 586,837 and 1,236,721 is: 2,606,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,837 : 1,236,721 = 1,236,721 : x
  2. Step 2: Convert to fraction form
    586,837/1,236,721 = 1,236,721/x
  3. Step 3: Cross multiply
    586,837x = 1,236,721 × 1,236,721
  4. Step 4: Simplify right side
    586,837x = 1,529,478,831,841
  5. Step 5: Solve for x
    x = 1,529,478,831,841/586,837
  6. Step 6: Final answer
    x = 2,606,309.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.