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Finding the Third Proportional to 947,844 and 2,087,808

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Solution

The third proportional to 947,844 and 2,087,808 is: 4,598,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,844 : 2,087,808 = 2,087,808 : x
  2. Step 2: Convert to fraction form
    947,844/2,087,808 = 2,087,808/x
  3. Step 3: Cross multiply
    947,844x = 2,087,808 × 2,087,808
  4. Step 4: Simplify right side
    947,844x = 4,358,942,244,864
  5. Step 5: Solve for x
    x = 4,358,942,244,864/947,844
  6. Step 6: Final answer
    x = 4,598,797.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.