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Finding the Third Proportional to 2,838,907 and 4,257,317

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Solution

The third proportional to 2,838,907 and 4,257,317 is: 6,384,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,907 : 4,257,317 = 4,257,317 : x
  2. Step 2: Convert to fraction form
    2,838,907/4,257,317 = 4,257,317/x
  3. Step 3: Cross multiply
    2,838,907x = 4,257,317 × 4,257,317
  4. Step 4: Simplify right side
    2,838,907x = 18,124,748,038,489
  5. Step 5: Solve for x
    x = 18,124,748,038,489/2,838,907
  6. Step 6: Final answer
    x = 6,384,410.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.