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Finding the Third Proportional to 1,004,768 and 1,496,771

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Solution

The third proportional to 1,004,768 and 1,496,771 is: 2,229,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,768 : 1,496,771 = 1,496,771 : x
  2. Step 2: Convert to fraction form
    1,004,768/1,496,771 = 1,496,771/x
  3. Step 3: Cross multiply
    1,004,768x = 1,496,771 × 1,496,771
  4. Step 4: Simplify right side
    1,004,768x = 2,240,323,426,441
  5. Step 5: Solve for x
    x = 2,240,323,426,441/1,004,768
  6. Step 6: Final answer
    x = 2,229,692.25

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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.