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Finding the Third Proportional to 2,938,500 and 6,440,328

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Solution

The third proportional to 2,938,500 and 6,440,328 is: 14,115,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,500 : 6,440,328 = 6,440,328 : x
  2. Step 2: Convert to fraction form
    2,938,500/6,440,328 = 6,440,328/x
  3. Step 3: Cross multiply
    2,938,500x = 6,440,328 × 6,440,328
  4. Step 4: Simplify right side
    2,938,500x = 41,477,824,747,584
  5. Step 5: Solve for x
    x = 41,477,824,747,584/2,938,500
  6. Step 6: Final answer
    x = 14,115,305.34

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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.