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Finding the Third Proportional to 516,862 and 1,095,096

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Solution

The third proportional to 516,862 and 1,095,096 is: 2,320,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,862 : 1,095,096 = 1,095,096 : x
  2. Step 2: Convert to fraction form
    516,862/1,095,096 = 1,095,096/x
  3. Step 3: Cross multiply
    516,862x = 1,095,096 × 1,095,096
  4. Step 4: Simplify right side
    516,862x = 1,199,235,249,216
  5. Step 5: Solve for x
    x = 1,199,235,249,216/516,862
  6. Step 6: Final answer
    x = 2,320,223.29

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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.