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Finding the Third Proportional to 1,006,142 and 1,522,173

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Solution

The third proportional to 1,006,142 and 1,522,173 is: 2,302,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,142 : 1,522,173 = 1,522,173 : x
  2. Step 2: Convert to fraction form
    1,006,142/1,522,173 = 1,522,173/x
  3. Step 3: Cross multiply
    1,006,142x = 1,522,173 × 1,522,173
  4. Step 4: Simplify right side
    1,006,142x = 2,317,010,641,929
  5. Step 5: Solve for x
    x = 2,317,010,641,929/1,006,142
  6. Step 6: Final answer
    x = 2,302,866.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.