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Finding the Third Proportional to 892,464 and 1,359,606

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Solution

The third proportional to 892,464 and 1,359,606 is: 2,071,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,464 : 1,359,606 = 1,359,606 : x
  2. Step 2: Convert to fraction form
    892,464/1,359,606 = 1,359,606/x
  3. Step 3: Cross multiply
    892,464x = 1,359,606 × 1,359,606
  4. Step 4: Simplify right side
    892,464x = 1,848,528,475,236
  5. Step 5: Solve for x
    x = 1,848,528,475,236/892,464
  6. Step 6: Final answer
    x = 2,071,263.91

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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.