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Finding the Third Proportional to 640,814 and 1,384,416

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Solution

The third proportional to 640,814 and 1,384,416 is: 2,990,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,814 : 1,384,416 = 1,384,416 : x
  2. Step 2: Convert to fraction form
    640,814/1,384,416 = 1,384,416/x
  3. Step 3: Cross multiply
    640,814x = 1,384,416 × 1,384,416
  4. Step 4: Simplify right side
    640,814x = 1,916,607,661,056
  5. Step 5: Solve for x
    x = 1,916,607,661,056/640,814
  6. Step 6: Final answer
    x = 2,990,895.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.