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Finding the Third Proportional to 2,476,846.50 and 3,487,943.25

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Solution

The third proportional to 2,476,846.50 and 3,487,943.25 is: 4,911,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476,846.50 : 3,487,943.25 = 3,487,943.25 : x
  2. Step 2: Convert to fraction form
    2,476,846.50/3,487,943.25 = 3,487,943.25/x
  3. Step 3: Cross multiply
    2,476,846.50x = 3,487,943.25 × 3,487,943.25
  4. Step 4: Simplify right side
    2,476,846.50x = 12,165,748,115,220.56
  5. Step 5: Solve for x
    x = 12,165,748,115,220.56/2,476,846.50
  6. Step 6: Final answer
    x = 4,911,789.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.