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Finding the Third Proportional to 592,143 and 1,302,384

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Solution

The third proportional to 592,143 and 1,302,384 is: 2,864,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,143 : 1,302,384 = 1,302,384 : x
  2. Step 2: Convert to fraction form
    592,143/1,302,384 = 1,302,384/x
  3. Step 3: Cross multiply
    592,143x = 1,302,384 × 1,302,384
  4. Step 4: Simplify right side
    592,143x = 1,696,204,083,456
  5. Step 5: Solve for x
    x = 1,696,204,083,456/592,143
  6. Step 6: Final answer
    x = 2,864,517.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.