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Finding the Third Proportional to 2,909,496 and 6,322,606

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Solution

The third proportional to 2,909,496 and 6,322,606 is: 13,739,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,496 : 6,322,606 = 6,322,606 : x
  2. Step 2: Convert to fraction form
    2,909,496/6,322,606 = 6,322,606/x
  3. Step 3: Cross multiply
    2,909,496x = 6,322,606 × 6,322,606
  4. Step 4: Simplify right side
    2,909,496x = 39,975,346,631,236
  5. Step 5: Solve for x
    x = 39,975,346,631,236/2,909,496
  6. Step 6: Final answer
    x = 13,739,612.16

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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.