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Finding the Third Proportional to 516,360 and 1,114,296

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Solution

The third proportional to 516,360 and 1,114,296 is: 2,404,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,360 : 1,114,296 = 1,114,296 : x
  2. Step 2: Convert to fraction form
    516,360/1,114,296 = 1,114,296/x
  3. Step 3: Cross multiply
    516,360x = 1,114,296 × 1,114,296
  4. Step 4: Simplify right side
    516,360x = 1,241,655,575,616
  5. Step 5: Solve for x
    x = 1,241,655,575,616/516,360
  6. Step 6: Final answer
    x = 2,404,631.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.