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Finding the Third Proportional to 2,897,536 and 6,293,268

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Solution

The third proportional to 2,897,536 and 6,293,268 is: 13,668,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,536 : 6,293,268 = 6,293,268 : x
  2. Step 2: Convert to fraction form
    2,897,536/6,293,268 = 6,293,268/x
  3. Step 3: Cross multiply
    2,897,536x = 6,293,268 × 6,293,268
  4. Step 4: Simplify right side
    2,897,536x = 39,605,222,119,824
  5. Step 5: Solve for x
    x = 39,605,222,119,824/2,897,536
  6. Step 6: Final answer
    x = 13,668,586.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.