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Finding the Third Proportional to 1,410,186 and 2,148,327

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Solution

The third proportional to 1,410,186 and 2,148,327 is: 3,272,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,186 : 2,148,327 = 2,148,327 : x
  2. Step 2: Convert to fraction form
    1,410,186/2,148,327 = 2,148,327/x
  3. Step 3: Cross multiply
    1,410,186x = 2,148,327 × 2,148,327
  4. Step 4: Simplify right side
    1,410,186x = 4,615,308,898,929
  5. Step 5: Solve for x
    x = 4,615,308,898,929/1,410,186
  6. Step 6: Final answer
    x = 3,272,836.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.