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Finding the Third Proportional to 2,948,517 and 6,306,914

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Solution

The third proportional to 2,948,517 and 6,306,914 is: 13,490,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,517 : 6,306,914 = 6,306,914 : x
  2. Step 2: Convert to fraction form
    2,948,517/6,306,914 = 6,306,914/x
  3. Step 3: Cross multiply
    2,948,517x = 6,306,914 × 6,306,914
  4. Step 4: Simplify right side
    2,948,517x = 39,777,164,203,396
  5. Step 5: Solve for x
    x = 39,777,164,203,396/2,948,517
  6. Step 6: Final answer
    x = 13,490,566.34

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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.