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Finding the Third Proportional to 891,728 and 1,928,896

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Solution

The third proportional to 891,728 and 1,928,896 is: 4,172,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,728 : 1,928,896 = 1,928,896 : x
  2. Step 2: Convert to fraction form
    891,728/1,928,896 = 1,928,896/x
  3. Step 3: Cross multiply
    891,728x = 1,928,896 × 1,928,896
  4. Step 4: Simplify right side
    891,728x = 3,720,639,778,816
  5. Step 5: Solve for x
    x = 3,720,639,778,816/891,728
  6. Step 6: Final answer
    x = 4,172,393.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.