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Finding the Third Proportional to 470,664 and 1,019,952

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Solution

The third proportional to 470,664 and 1,019,952 is: 2,210,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,664 : 1,019,952 = 1,019,952 : x
  2. Step 2: Convert to fraction form
    470,664/1,019,952 = 1,019,952/x
  3. Step 3: Cross multiply
    470,664x = 1,019,952 × 1,019,952
  4. Step 4: Simplify right side
    470,664x = 1,040,302,082,304
  5. Step 5: Solve for x
    x = 1,040,302,082,304/470,664
  6. Step 6: Final answer
    x = 2,210,286.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.