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Finding the Third Proportional to 470,859 and 1,006,356

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Solution

The third proportional to 470,859 and 1,006,356 is: 2,150,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,859 : 1,006,356 = 1,006,356 : x
  2. Step 2: Convert to fraction form
    470,859/1,006,356 = 1,006,356/x
  3. Step 3: Cross multiply
    470,859x = 1,006,356 × 1,006,356
  4. Step 4: Simplify right side
    470,859x = 1,012,752,398,736
  5. Step 5: Solve for x
    x = 1,012,752,398,736/470,859
  6. Step 6: Final answer
    x = 2,150,861.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.