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Finding the Third Proportional to 691,412 and 1,129,006

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Solution

The third proportional to 691,412 and 1,129,006 is: 1,843,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,412 : 1,129,006 = 1,129,006 : x
  2. Step 2: Convert to fraction form
    691,412/1,129,006 = 1,129,006/x
  3. Step 3: Cross multiply
    691,412x = 1,129,006 × 1,129,006
  4. Step 4: Simplify right side
    691,412x = 1,274,654,548,036
  5. Step 5: Solve for x
    x = 1,274,654,548,036/691,412
  6. Step 6: Final answer
    x = 1,843,552.83

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.