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Finding the Third Proportional to 516,126 and 759,009

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Solution

The third proportional to 516,126 and 759,009 is: 1,116,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,126 : 759,009 = 759,009 : x
  2. Step 2: Convert to fraction form
    516,126/759,009 = 759,009/x
  3. Step 3: Cross multiply
    516,126x = 759,009 × 759,009
  4. Step 4: Simplify right side
    516,126x = 576,094,662,081
  5. Step 5: Solve for x
    x = 576,094,662,081/516,126
  6. Step 6: Final answer
    x = 1,116,189.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.