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Finding the Third Proportional to 2,192,348 and 4,783,087.50

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Solution

The third proportional to 2,192,348 and 4,783,087.50 is: 10,435,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,348 : 4,783,087.50 = 4,783,087.50 : x
  2. Step 2: Convert to fraction form
    2,192,348/4,783,087.50 = 4,783,087.50/x
  3. Step 3: Cross multiply
    2,192,348x = 4,783,087.50 × 4,783,087.50
  4. Step 4: Simplify right side
    2,192,348x = 22,877,926,032,656.25
  5. Step 5: Solve for x
    x = 22,877,926,032,656.25/2,192,348
  6. Step 6: Final answer
    x = 10,435,353.34

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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.