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Finding the Third Proportional to 2,781,895.50 and 5,931,225

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Solution

The third proportional to 2,781,895.50 and 5,931,225 is: 12,645,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,895.50 : 5,931,225 = 5,931,225 : x
  2. Step 2: Convert to fraction form
    2,781,895.50/5,931,225 = 5,931,225/x
  3. Step 3: Cross multiply
    2,781,895.50x = 5,931,225 × 5,931,225
  4. Step 4: Simplify right side
    2,781,895.50x = 35,179,430,000,625
  5. Step 5: Solve for x
    x = 35,179,430,000,625/2,781,895.50
  6. Step 6: Final answer
    x = 12,645,848.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.