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Finding the Third Proportional to 664,465 and 1,004,626

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Solution

The third proportional to 664,465 and 1,004,626 is: 1,518,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,465 : 1,004,626 = 1,004,626 : x
  2. Step 2: Convert to fraction form
    664,465/1,004,626 = 1,004,626/x
  3. Step 3: Cross multiply
    664,465x = 1,004,626 × 1,004,626
  4. Step 4: Simplify right side
    664,465x = 1,009,273,399,876
  5. Step 5: Solve for x
    x = 1,009,273,399,876/664,465
  6. Step 6: Final answer
    x = 1,518,926.35

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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.