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Finding the Third Proportional to 2,909,484 and 6,322,584

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Solution

The third proportional to 2,909,484 and 6,322,584 is: 13,739,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,484 : 6,322,584 = 6,322,584 : x
  2. Step 2: Convert to fraction form
    2,909,484/6,322,584 = 6,322,584/x
  3. Step 3: Cross multiply
    2,909,484x = 6,322,584 × 6,322,584
  4. Step 4: Simplify right side
    2,909,484x = 39,975,068,437,056
  5. Step 5: Solve for x
    x = 39,975,068,437,056/2,909,484
  6. Step 6: Final answer
    x = 13,739,573.22

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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.