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Finding the Third Proportional to 2,939,466 and 6,298,836

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Solution

The third proportional to 2,939,466 and 6,298,836 is: 13,497,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939,466 : 6,298,836 = 6,298,836 : x
  2. Step 2: Convert to fraction form
    2,939,466/6,298,836 = 6,298,836/x
  3. Step 3: Cross multiply
    2,939,466x = 6,298,836 × 6,298,836
  4. Step 4: Simplify right side
    2,939,466x = 39,675,334,954,896
  5. Step 5: Solve for x
    x = 39,675,334,954,896/2,939,466
  6. Step 6: Final answer
    x = 13,497,463.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.