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Finding the Third Proportional to 664,967 and 1,053,119

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Solution

The third proportional to 664,967 and 1,053,119 is: 1,667,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,967 : 1,053,119 = 1,053,119 : x
  2. Step 2: Convert to fraction form
    664,967/1,053,119 = 1,053,119/x
  3. Step 3: Cross multiply
    664,967x = 1,053,119 × 1,053,119
  4. Step 4: Simplify right side
    664,967x = 1,109,059,628,161
  5. Step 5: Solve for x
    x = 1,109,059,628,161/664,967
  6. Step 6: Final answer
    x = 1,667,841.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.