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Finding the Third Proportional to 687,992 and 1,042,368

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Solution

The third proportional to 687,992 and 1,042,368 is: 1,579,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,992 : 1,042,368 = 1,042,368 : x
  2. Step 2: Convert to fraction form
    687,992/1,042,368 = 1,042,368/x
  3. Step 3: Cross multiply
    687,992x = 1,042,368 × 1,042,368
  4. Step 4: Simplify right side
    687,992x = 1,086,531,047,424
  5. Step 5: Solve for x
    x = 1,086,531,047,424/687,992
  6. Step 6: Final answer
    x = 1,579,278.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.