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Finding the Third Proportional to 2,754,935 and 6,433,221

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Solution

The third proportional to 2,754,935 and 6,433,221 is: 15,022,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,935 : 6,433,221 = 6,433,221 : x
  2. Step 2: Convert to fraction form
    2,754,935/6,433,221 = 6,433,221/x
  3. Step 3: Cross multiply
    2,754,935x = 6,433,221 × 6,433,221
  4. Step 4: Simplify right side
    2,754,935x = 41,386,332,434,841
  5. Step 5: Solve for x
    x = 41,386,332,434,841/2,754,935
  6. Step 6: Final answer
    x = 15,022,616.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.