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Finding the Third Proportional to 3,943,706 and 6,349,263

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Solution

The third proportional to 3,943,706 and 6,349,263 is: 10,222,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943,706 : 6,349,263 = 6,349,263 : x
  2. Step 2: Convert to fraction form
    3,943,706/6,349,263 = 6,349,263/x
  3. Step 3: Cross multiply
    3,943,706x = 6,349,263 × 6,349,263
  4. Step 4: Simplify right side
    3,943,706x = 40,313,140,643,169
  5. Step 5: Solve for x
    x = 40,313,140,643,169/3,943,706
  6. Step 6: Final answer
    x = 10,222,146.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.