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Finding the Third Proportional to 586,880 and 1,236,809

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Solution

The third proportional to 586,880 and 1,236,809 is: 2,606,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,880 : 1,236,809 = 1,236,809 : x
  2. Step 2: Convert to fraction form
    586,880/1,236,809 = 1,236,809/x
  3. Step 3: Cross multiply
    586,880x = 1,236,809 × 1,236,809
  4. Step 4: Simplify right side
    586,880x = 1,529,696,502,481
  5. Step 5: Solve for x
    x = 1,529,696,502,481/586,880
  6. Step 6: Final answer
    x = 2,606,489.41

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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.