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Finding the Third Proportional to 2,852,928 and 6,217,632

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Solution

The third proportional to 2,852,928 and 6,217,632 is: 13,550,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,928 : 6,217,632 = 6,217,632 : x
  2. Step 2: Convert to fraction form
    2,852,928/6,217,632 = 6,217,632/x
  3. Step 3: Cross multiply
    2,852,928x = 6,217,632 × 6,217,632
  4. Step 4: Simplify right side
    2,852,928x = 38,658,947,687,424
  5. Step 5: Solve for x
    x = 38,658,947,687,424/2,852,928
  6. Step 6: Final answer
    x = 13,550,621.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.