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Finding the Third Proportional to 541,664 and 1,173,728

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Solution

The third proportional to 541,664 and 1,173,728 is: 2,543,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,664 : 1,173,728 = 1,173,728 : x
  2. Step 2: Convert to fraction form
    541,664/1,173,728 = 1,173,728/x
  3. Step 3: Cross multiply
    541,664x = 1,173,728 × 1,173,728
  4. Step 4: Simplify right side
    541,664x = 1,377,637,417,984
  5. Step 5: Solve for x
    x = 1,377,637,417,984/541,664
  6. Step 6: Final answer
    x = 2,543,343.14

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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.