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Finding the Third Proportional to 4,032,464 and 6,388,314

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Solution

The third proportional to 4,032,464 and 6,388,314 is: 10,120,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032,464 : 6,388,314 = 6,388,314 : x
  2. Step 2: Convert to fraction form
    4,032,464/6,388,314 = 6,388,314/x
  3. Step 3: Cross multiply
    4,032,464x = 6,388,314 × 6,388,314
  4. Step 4: Simplify right side
    4,032,464x = 40,810,555,762,596
  5. Step 5: Solve for x
    x = 40,810,555,762,596/4,032,464
  6. Step 6: Final answer
    x = 10,120,500.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.