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Finding the Third Proportional to 1,959,714 and 4,199,364

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Solution

The third proportional to 1,959,714 and 4,199,364 is: 8,998,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,714 : 4,199,364 = 4,199,364 : x
  2. Step 2: Convert to fraction form
    1,959,714/4,199,364 = 4,199,364/x
  3. Step 3: Cross multiply
    1,959,714x = 4,199,364 × 4,199,364
  4. Step 4: Simplify right side
    1,959,714x = 17,634,658,004,496
  5. Step 5: Solve for x
    x = 17,634,658,004,496/1,959,714
  6. Step 6: Final answer
    x = 8,998,587.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.