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Finding the Third Proportional to 856,458 and 1,844,460

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Solution

The third proportional to 856,458 and 1,844,460 is: 3,972,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,458 : 1,844,460 = 1,844,460 : x
  2. Step 2: Convert to fraction form
    856,458/1,844,460 = 1,844,460/x
  3. Step 3: Cross multiply
    856,458x = 1,844,460 × 1,844,460
  4. Step 4: Simplify right side
    856,458x = 3,402,032,691,600
  5. Step 5: Solve for x
    x = 3,402,032,691,600/856,458
  6. Step 6: Final answer
    x = 3,972,211.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.