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Finding the Third Proportional to 470,856 and 1,019,943

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Solution

The third proportional to 470,856 and 1,019,943 is: 2,209,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,856 : 1,019,943 = 1,019,943 : x
  2. Step 2: Convert to fraction form
    470,856/1,019,943 = 1,019,943/x
  3. Step 3: Cross multiply
    470,856x = 1,019,943 × 1,019,943
  4. Step 4: Simplify right side
    470,856x = 1,040,283,723,249
  5. Step 5: Solve for x
    x = 1,040,283,723,249/470,856
  6. Step 6: Final answer
    x = 2,209,345.79

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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.