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Finding the Third Proportional to 1,938,827 and 4,141,543

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Solution

The third proportional to 1,938,827 and 4,141,543 is: 8,846,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,827 : 4,141,543 = 4,141,543 : x
  2. Step 2: Convert to fraction form
    1,938,827/4,141,543 = 4,141,543/x
  3. Step 3: Cross multiply
    1,938,827x = 4,141,543 × 4,141,543
  4. Step 4: Simplify right side
    1,938,827x = 17,152,378,420,849
  5. Step 5: Solve for x
    x = 17,152,378,420,849/1,938,827
  6. Step 6: Final answer
    x = 8,846,781.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.