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Finding the Third Proportional to 460,802 and 1,010,174

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Solution

The third proportional to 460,802 and 1,010,174 is: 2,214,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,802 : 1,010,174 = 1,010,174 : x
  2. Step 2: Convert to fraction form
    460,802/1,010,174 = 1,010,174/x
  3. Step 3: Cross multiply
    460,802x = 1,010,174 × 1,010,174
  4. Step 4: Simplify right side
    460,802x = 1,020,451,510,276
  5. Step 5: Solve for x
    x = 1,020,451,510,276/460,802
  6. Step 6: Final answer
    x = 2,214,511.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.