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Finding the Third Proportional to 1,079,785.69 and 2,362,962.38

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Solution

The third proportional to 1,079,785.69 and 2,362,962.38 is: 5,171,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,785.69 : 2,362,962.38 = 2,362,962.38 : x
  2. Step 2: Convert to fraction form
    1,079,785.69/2,362,962.38 = 2,362,962.38/x
  3. Step 3: Cross multiply
    1,079,785.69x = 2,362,962.38 × 2,362,962.38
  4. Step 4: Simplify right side
    1,079,785.69x = 5,583,591,185,665.64
  5. Step 5: Solve for x
    x = 5,583,591,185,665.64/1,079,785.69
  6. Step 6: Final answer
    x = 5,171,017.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.