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Finding the Third Proportional to 664,666 and 1,003,094

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Solution

The third proportional to 664,666 and 1,003,094 is: 1,513,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,666 : 1,003,094 = 1,003,094 : x
  2. Step 2: Convert to fraction form
    664,666/1,003,094 = 1,003,094/x
  3. Step 3: Cross multiply
    664,666x = 1,003,094 × 1,003,094
  4. Step 4: Simplify right side
    664,666x = 1,006,197,572,836
  5. Step 5: Solve for x
    x = 1,006,197,572,836/664,666
  6. Step 6: Final answer
    x = 1,513,839.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.