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Finding the Third Proportional to 4,099,854 and 6,364,656

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Solution

The third proportional to 4,099,854 and 6,364,656 is: 9,880,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,854 : 6,364,656 = 6,364,656 : x
  2. Step 2: Convert to fraction form
    4,099,854/6,364,656 = 6,364,656/x
  3. Step 3: Cross multiply
    4,099,854x = 6,364,656 × 6,364,656
  4. Step 4: Simplify right side
    4,099,854x = 40,508,845,998,336
  5. Step 5: Solve for x
    x = 40,508,845,998,336/4,099,854
  6. Step 6: Final answer
    x = 9,880,558.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.