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Finding the Third Proportional to 2,882,104 and 6,191,584

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Solution

The third proportional to 2,882,104 and 6,191,584 is: 13,301,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882,104 : 6,191,584 = 6,191,584 : x
  2. Step 2: Convert to fraction form
    2,882,104/6,191,584 = 6,191,584/x
  3. Step 3: Cross multiply
    2,882,104x = 6,191,584 × 6,191,584
  4. Step 4: Simplify right side
    2,882,104x = 38,335,712,429,056
  5. Step 5: Solve for x
    x = 38,335,712,429,056/2,882,104
  6. Step 6: Final answer
    x = 13,301,293.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.