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Finding the Third Proportional to 460,787 and 1,010,147

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Solution

The third proportional to 460,787 and 1,010,147 is: 2,214,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,787 : 1,010,147 = 1,010,147 : x
  2. Step 2: Convert to fraction form
    460,787/1,010,147 = 1,010,147/x
  3. Step 3: Cross multiply
    460,787x = 1,010,147 × 1,010,147
  4. Step 4: Simplify right side
    460,787x = 1,020,396,961,609
  5. Step 5: Solve for x
    x = 1,020,396,961,609/460,787
  6. Step 6: Final answer
    x = 2,214,465.60

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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.