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Finding the Third Proportional to 592,695 and 1,280,156

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Solution

The third proportional to 592,695 and 1,280,156 is: 2,764,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,695 : 1,280,156 = 1,280,156 : x
  2. Step 2: Convert to fraction form
    592,695/1,280,156 = 1,280,156/x
  3. Step 3: Cross multiply
    592,695x = 1,280,156 × 1,280,156
  4. Step 4: Simplify right side
    592,695x = 1,638,799,384,336
  5. Step 5: Solve for x
    x = 1,638,799,384,336/592,695
  6. Step 6: Final answer
    x = 2,764,996.14

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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.