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Finding the Third Proportional to 516,826 and 1,095,024

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Solution

The third proportional to 516,826 and 1,095,024 is: 2,320,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,826 : 1,095,024 = 1,095,024 : x
  2. Step 2: Convert to fraction form
    516,826/1,095,024 = 1,095,024/x
  3. Step 3: Cross multiply
    516,826x = 1,095,024 × 1,095,024
  4. Step 4: Simplify right side
    516,826x = 1,199,077,560,576
  5. Step 5: Solve for x
    x = 1,199,077,560,576/516,826
  6. Step 6: Final answer
    x = 2,320,079.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.