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Finding the Third Proportional to 516,208 and 1,114,064

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Solution

The third proportional to 516,208 and 1,114,064 is: 2,404,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,208 : 1,114,064 = 1,114,064 : x
  2. Step 2: Convert to fraction form
    516,208/1,114,064 = 1,114,064/x
  3. Step 3: Cross multiply
    516,208x = 1,114,064 × 1,114,064
  4. Step 4: Simplify right side
    516,208x = 1,241,138,596,096
  5. Step 5: Solve for x
    x = 1,241,138,596,096/516,208
  6. Step 6: Final answer
    x = 2,404,338.17

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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.