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Finding the Third Proportional to 892,398 and 1,359,510

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Solution

The third proportional to 892,398 and 1,359,510 is: 2,071,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,398 : 1,359,510 = 1,359,510 : x
  2. Step 2: Convert to fraction form
    892,398/1,359,510 = 1,359,510/x
  3. Step 3: Cross multiply
    892,398x = 1,359,510 × 1,359,510
  4. Step 4: Simplify right side
    892,398x = 1,848,267,440,100
  5. Step 5: Solve for x
    x = 1,848,267,440,100/892,398
  6. Step 6: Final answer
    x = 2,071,124.59

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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.