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Finding the Third Proportional to 2,900,464 and 6,220,616

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Solution

The third proportional to 2,900,464 and 6,220,616 is: 13,341,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,464 : 6,220,616 = 6,220,616 : x
  2. Step 2: Convert to fraction form
    2,900,464/6,220,616 = 6,220,616/x
  3. Step 3: Cross multiply
    2,900,464x = 6,220,616 × 6,220,616
  4. Step 4: Simplify right side
    2,900,464x = 38,696,063,419,456
  5. Step 5: Solve for x
    x = 38,696,063,419,456/2,900,464
  6. Step 6: Final answer
    x = 13,341,335.53

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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.