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Finding the Third Proportional to 517,318 and 1,130,828

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Solution

The third proportional to 517,318 and 1,130,828 is: 2,471,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,318 : 1,130,828 = 1,130,828 : x
  2. Step 2: Convert to fraction form
    517,318/1,130,828 = 1,130,828/x
  3. Step 3: Cross multiply
    517,318x = 1,130,828 × 1,130,828
  4. Step 4: Simplify right side
    517,318x = 1,278,771,965,584
  5. Step 5: Solve for x
    x = 1,278,771,965,584/517,318
  6. Step 6: Final answer
    x = 2,471,926.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.