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Finding the Third Proportional to 517,600 and 1,139,456

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Solution

The third proportional to 517,600 and 1,139,456 is: 2,508,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,600 : 1,139,456 = 1,139,456 : x
  2. Step 2: Convert to fraction form
    517,600/1,139,456 = 1,139,456/x
  3. Step 3: Cross multiply
    517,600x = 1,139,456 × 1,139,456
  4. Step 4: Simplify right side
    517,600x = 1,298,359,975,936
  5. Step 5: Solve for x
    x = 1,298,359,975,936/517,600
  6. Step 6: Final answer
    x = 2,508,423.45

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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.