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Finding the Third Proportional to 936,414 and 1,402,056

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Solution

The third proportional to 936,414 and 1,402,056 is: 2,099,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,414 : 1,402,056 = 1,402,056 : x
  2. Step 2: Convert to fraction form
    936,414/1,402,056 = 1,402,056/x
  3. Step 3: Cross multiply
    936,414x = 1,402,056 × 1,402,056
  4. Step 4: Simplify right side
    936,414x = 1,965,761,027,136
  5. Step 5: Solve for x
    x = 1,965,761,027,136/936,414
  6. Step 6: Final answer
    x = 2,099,243.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.