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Finding the Third Proportional to 2,959,263 and 6,466,446

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Solution

The third proportional to 2,959,263 and 6,466,446 is: 14,130,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,263 : 6,466,446 = 6,466,446 : x
  2. Step 2: Convert to fraction form
    2,959,263/6,466,446 = 6,466,446/x
  3. Step 3: Cross multiply
    2,959,263x = 6,466,446 × 6,466,446
  4. Step 4: Simplify right side
    2,959,263x = 41,814,923,870,916
  5. Step 5: Solve for x
    x = 41,814,923,870,916/2,959,263
  6. Step 6: Final answer
    x = 14,130,181.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.