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Finding the Third Proportional to 585,480 and 1,259,728

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Solution

The third proportional to 585,480 and 1,259,728 is: 2,710,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,480 : 1,259,728 = 1,259,728 : x
  2. Step 2: Convert to fraction form
    585,480/1,259,728 = 1,259,728/x
  3. Step 3: Cross multiply
    585,480x = 1,259,728 × 1,259,728
  4. Step 4: Simplify right side
    585,480x = 1,586,914,633,984
  5. Step 5: Solve for x
    x = 1,586,914,633,984/585,480
  6. Step 6: Final answer
    x = 2,710,450.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.