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Finding the Third Proportional to 947,781 and 2,047,275

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Solution

The third proportional to 947,781 and 2,047,275 is: 4,422,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,781 : 2,047,275 = 2,047,275 : x
  2. Step 2: Convert to fraction form
    947,781/2,047,275 = 2,047,275/x
  3. Step 3: Cross multiply
    947,781x = 2,047,275 × 2,047,275
  4. Step 4: Simplify right side
    947,781x = 4,191,334,925,625
  5. Step 5: Solve for x
    x = 4,191,334,925,625/947,781
  6. Step 6: Final answer
    x = 4,422,260.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.