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Finding the Third Proportional to 2,781,904.50 and 5,931,261

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Solution

The third proportional to 2,781,904.50 and 5,931,261 is: 12,645,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,904.50 : 5,931,261 = 5,931,261 : x
  2. Step 2: Convert to fraction form
    2,781,904.50/5,931,261 = 5,931,261/x
  3. Step 3: Cross multiply
    2,781,904.50x = 5,931,261 × 5,931,261
  4. Step 4: Simplify right side
    2,781,904.50x = 35,179,857,050,121
  5. Step 5: Solve for x
    x = 35,179,857,050,121/2,781,904.50
  6. Step 6: Final answer
    x = 12,645,961.44

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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.