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Finding the Third Proportional to 640,818 and 1,384,424

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Solution

The third proportional to 640,818 and 1,384,424 is: 2,990,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,818 : 1,384,424 = 1,384,424 : x
  2. Step 2: Convert to fraction form
    640,818/1,384,424 = 1,384,424/x
  3. Step 3: Cross multiply
    640,818x = 1,384,424 × 1,384,424
  4. Step 4: Simplify right side
    640,818x = 1,916,629,811,776
  5. Step 5: Solve for x
    x = 1,916,629,811,776/640,818
  6. Step 6: Final answer
    x = 2,990,911.32

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