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Finding the Third Proportional to 1,728,756 and 3,772,440

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Solution

The third proportional to 1,728,756 and 3,772,440 is: 8,232,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,756 : 3,772,440 = 3,772,440 : x
  2. Step 2: Convert to fraction form
    1,728,756/3,772,440 = 3,772,440/x
  3. Step 3: Cross multiply
    1,728,756x = 3,772,440 × 3,772,440
  4. Step 4: Simplify right side
    1,728,756x = 14,231,303,553,600
  5. Step 5: Solve for x
    x = 14,231,303,553,600/1,728,756
  6. Step 6: Final answer
    x = 8,232,106.53

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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.