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Finding the Third Proportional to 4,496,382 and 6,856,623

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Solution

The third proportional to 4,496,382 and 6,856,623 is: 10,455,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,382 : 6,856,623 = 6,856,623 : x
  2. Step 2: Convert to fraction form
    4,496,382/6,856,623 = 6,856,623/x
  3. Step 3: Cross multiply
    4,496,382x = 6,856,623 × 6,856,623
  4. Step 4: Simplify right side
    4,496,382x = 47,013,278,964,129
  5. Step 5: Solve for x
    x = 47,013,278,964,129/4,496,382
  6. Step 6: Final answer
    x = 10,455,801.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.