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Finding the Third Proportional to 2,897,102 and 6,235,996

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Solution

The third proportional to 2,897,102 and 6,235,996 is: 13,422,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,102 : 6,235,996 = 6,235,996 : x
  2. Step 2: Convert to fraction form
    2,897,102/6,235,996 = 6,235,996/x
  3. Step 3: Cross multiply
    2,897,102x = 6,235,996 × 6,235,996
  4. Step 4: Simplify right side
    2,897,102x = 38,887,646,112,016
  5. Step 5: Solve for x
    x = 38,887,646,112,016/2,897,102
  6. Step 6: Final answer
    x = 13,422,946.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.