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Finding the Third Proportional to 3,976,413 and 6,119,623

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Solution

The third proportional to 3,976,413 and 6,119,623 is: 9,417,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976,413 : 6,119,623 = 6,119,623 : x
  2. Step 2: Convert to fraction form
    3,976,413/6,119,623 = 6,119,623/x
  3. Step 3: Cross multiply
    3,976,413x = 6,119,623 × 6,119,623
  4. Step 4: Simplify right side
    3,976,413x = 37,449,785,662,129
  5. Step 5: Solve for x
    x = 37,449,785,662,129/3,976,413
  6. Step 6: Final answer
    x = 9,417,981.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.