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Finding the Third Proportional to 882,640 and 1,905,216

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Solution

The third proportional to 882,640 and 1,905,216 is: 4,112,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,640 : 1,905,216 = 1,905,216 : x
  2. Step 2: Convert to fraction form
    882,640/1,905,216 = 1,905,216/x
  3. Step 3: Cross multiply
    882,640x = 1,905,216 × 1,905,216
  4. Step 4: Simplify right side
    882,640x = 3,629,848,006,656
  5. Step 5: Solve for x
    x = 3,629,848,006,656/882,640
  6. Step 6: Final answer
    x = 4,112,489.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.