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Finding the Third Proportional to 3,152,961 and 6,894,828

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Solution

The third proportional to 3,152,961 and 6,894,828 is: 15,077,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152,961 : 6,894,828 = 6,894,828 : x
  2. Step 2: Convert to fraction form
    3,152,961/6,894,828 = 6,894,828/x
  3. Step 3: Cross multiply
    3,152,961x = 6,894,828 × 6,894,828
  4. Step 4: Simplify right side
    3,152,961x = 47,538,653,149,584
  5. Step 5: Solve for x
    x = 47,538,653,149,584/3,152,961
  6. Step 6: Final answer
    x = 15,077,463.11

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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.