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Finding the Third Proportional to 596,550 and 1,294,728

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Solution

The third proportional to 596,550 and 1,294,728 is: 2,810,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,550 : 1,294,728 = 1,294,728 : x
  2. Step 2: Convert to fraction form
    596,550/1,294,728 = 1,294,728/x
  3. Step 3: Cross multiply
    596,550x = 1,294,728 × 1,294,728
  4. Step 4: Simplify right side
    596,550x = 1,676,320,593,984
  5. Step 5: Solve for x
    x = 1,676,320,593,984/596,550
  6. Step 6: Final answer
    x = 2,810,025.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.