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Finding the Third Proportional to 470,864 and 1,021,998

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Solution

The third proportional to 470,864 and 1,021,998 is: 2,218,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,864 : 1,021,998 = 1,021,998 : x
  2. Step 2: Convert to fraction form
    470,864/1,021,998 = 1,021,998/x
  3. Step 3: Cross multiply
    470,864x = 1,021,998 × 1,021,998
  4. Step 4: Simplify right side
    470,864x = 1,044,479,912,004
  5. Step 5: Solve for x
    x = 1,044,479,912,004/470,864
  6. Step 6: Final answer
    x = 2,218,219.94

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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.