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Finding the Third Proportional to 1,071,192 and 1,421,616

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Solution

The third proportional to 1,071,192 and 1,421,616 is: 1,886,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,192 : 1,421,616 = 1,421,616 : x
  2. Step 2: Convert to fraction form
    1,071,192/1,421,616 = 1,421,616/x
  3. Step 3: Cross multiply
    1,071,192x = 1,421,616 × 1,421,616
  4. Step 4: Simplify right side
    1,071,192x = 2,020,992,051,456
  5. Step 5: Solve for x
    x = 2,020,992,051,456/1,071,192
  6. Step 6: Final answer
    x = 1,886,675.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.