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Finding the Third Proportional to 2,300,238 and 4,675,897

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Solution

The third proportional to 2,300,238 and 4,675,897 is: 9,505,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,238 : 4,675,897 = 4,675,897 : x
  2. Step 2: Convert to fraction form
    2,300,238/4,675,897 = 4,675,897/x
  3. Step 3: Cross multiply
    2,300,238x = 4,675,897 × 4,675,897
  4. Step 4: Simplify right side
    2,300,238x = 21,864,012,754,609
  5. Step 5: Solve for x
    x = 21,864,012,754,609/2,300,238
  6. Step 6: Final answer
    x = 9,505,108.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.