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Finding the Third Proportional to 655,533 and 1,545,255

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Solution

The third proportional to 655,533 and 1,545,255 is: 3,642,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,533 : 1,545,255 = 1,545,255 : x
  2. Step 2: Convert to fraction form
    655,533/1,545,255 = 1,545,255/x
  3. Step 3: Cross multiply
    655,533x = 1,545,255 × 1,545,255
  4. Step 4: Simplify right side
    655,533x = 2,387,813,015,025
  5. Step 5: Solve for x
    x = 2,387,813,015,025/655,533
  6. Step 6: Final answer
    x = 3,642,551.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.