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Finding the Third Proportional to 1,864,048 and 4,032,764

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Solution

The third proportional to 1,864,048 and 4,032,764 is: 8,724,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,048 : 4,032,764 = 4,032,764 : x
  2. Step 2: Convert to fraction form
    1,864,048/4,032,764 = 4,032,764/x
  3. Step 3: Cross multiply
    1,864,048x = 4,032,764 × 4,032,764
  4. Step 4: Simplify right side
    1,864,048x = 16,263,185,479,696
  5. Step 5: Solve for x
    x = 16,263,185,479,696/1,864,048
  6. Step 6: Final answer
    x = 8,724,660.24

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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.