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Finding the Third Proportional to 702,176 and 1,059,477

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Solution

The third proportional to 702,176 and 1,059,477 is: 1,598,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,176 : 1,059,477 = 1,059,477 : x
  2. Step 2: Convert to fraction form
    702,176/1,059,477 = 1,059,477/x
  3. Step 3: Cross multiply
    702,176x = 1,059,477 × 1,059,477
  4. Step 4: Simplify right side
    702,176x = 1,122,491,513,529
  5. Step 5: Solve for x
    x = 1,122,491,513,529/702,176
  6. Step 6: Final answer
    x = 1,598,589.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.