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Finding the Third Proportional to 932,814 and 2,061,648

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Solution

The third proportional to 932,814 and 2,061,648 is: 4,556,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,814 : 2,061,648 = 2,061,648 : x
  2. Step 2: Convert to fraction form
    932,814/2,061,648 = 2,061,648/x
  3. Step 3: Cross multiply
    932,814x = 2,061,648 × 2,061,648
  4. Step 4: Simplify right side
    932,814x = 4,250,392,475,904
  5. Step 5: Solve for x
    x = 4,250,392,475,904/932,814
  6. Step 6: Final answer
    x = 4,556,527.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.