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Finding the Third Proportional to 4,451,382 and 6,490,449

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Solution

The third proportional to 4,451,382 and 6,490,449 is: 9,463,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451,382 : 6,490,449 = 6,490,449 : x
  2. Step 2: Convert to fraction form
    4,451,382/6,490,449 = 6,490,449/x
  3. Step 3: Cross multiply
    4,451,382x = 6,490,449 × 6,490,449
  4. Step 4: Simplify right side
    4,451,382x = 42,125,928,221,601
  5. Step 5: Solve for x
    x = 42,125,928,221,601/4,451,382
  6. Step 6: Final answer
    x = 9,463,561.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.