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Finding the Third Proportional to 2,257,807.50 and 4,865,535

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Solution

The third proportional to 2,257,807.50 and 4,865,535 is: 10,485,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,807.50 : 4,865,535 = 4,865,535 : x
  2. Step 2: Convert to fraction form
    2,257,807.50/4,865,535 = 4,865,535/x
  3. Step 3: Cross multiply
    2,257,807.50x = 4,865,535 × 4,865,535
  4. Step 4: Simplify right side
    2,257,807.50x = 23,673,430,836,225
  5. Step 5: Solve for x
    x = 23,673,430,836,225/2,257,807.50
  6. Step 6: Final answer
    x = 10,485,141.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.