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Finding the Third Proportional to 2,909,502 and 6,322,620

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Solution

The third proportional to 2,909,502 and 6,322,620 is: 13,739,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,502 : 6,322,620 = 6,322,620 : x
  2. Step 2: Convert to fraction form
    2,909,502/6,322,620 = 6,322,620/x
  3. Step 3: Cross multiply
    2,909,502x = 6,322,620 × 6,322,620
  4. Step 4: Simplify right side
    2,909,502x = 39,975,523,664,400
  5. Step 5: Solve for x
    x = 39,975,523,664,400/2,909,502
  6. Step 6: Final answer
    x = 13,739,644.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.