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Finding the Third Proportional to 1,004,766 and 1,496,768

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Solution

The third proportional to 1,004,766 and 1,496,768 is: 2,229,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,766 : 1,496,768 = 1,496,768 : x
  2. Step 2: Convert to fraction form
    1,004,766/1,496,768 = 1,496,768/x
  3. Step 3: Cross multiply
    1,004,766x = 1,496,768 × 1,496,768
  4. Step 4: Simplify right side
    1,004,766x = 2,240,314,445,824
  5. Step 5: Solve for x
    x = 2,240,314,445,824/1,004,766
  6. Step 6: Final answer
    x = 2,229,687.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.