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Finding the Third Proportional to 2,370,936 and 5,191,584

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Solution

The third proportional to 2,370,936 and 5,191,584 is: 11,367,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,936 : 5,191,584 = 5,191,584 : x
  2. Step 2: Convert to fraction form
    2,370,936/5,191,584 = 5,191,584/x
  3. Step 3: Cross multiply
    2,370,936x = 5,191,584 × 5,191,584
  4. Step 4: Simplify right side
    2,370,936x = 26,952,544,429,056
  5. Step 5: Solve for x
    x = 26,952,544,429,056/2,370,936
  6. Step 6: Final answer
    x = 11,367,892.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.