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Finding the Third Proportional to 544,936 and 817,586

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Solution

The third proportional to 544,936 and 817,586 is: 1,226,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,936 : 817,586 = 817,586 : x
  2. Step 2: Convert to fraction form
    544,936/817,586 = 817,586/x
  3. Step 3: Cross multiply
    544,936x = 817,586 × 817,586
  4. Step 4: Simplify right side
    544,936x = 668,446,867,396
  5. Step 5: Solve for x
    x = 668,446,867,396/544,936
  6. Step 6: Final answer
    x = 1,226,652.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.