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Finding the Third Proportional to 4,712,839 and 7,206,326

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Solution

The third proportional to 4,712,839 and 7,206,326 is: 11,019,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,839 : 7,206,326 = 7,206,326 : x
  2. Step 2: Convert to fraction form
    4,712,839/7,206,326 = 7,206,326/x
  3. Step 3: Cross multiply
    4,712,839x = 7,206,326 × 7,206,326
  4. Step 4: Simplify right side
    4,712,839x = 51,931,134,418,276
  5. Step 5: Solve for x
    x = 51,931,134,418,276/4,712,839
  6. Step 6: Final answer
    x = 11,019,076.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.