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Finding the Third Proportional to 535,576 and 1,154,096

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Solution

The third proportional to 535,576 and 1,154,096 is: 2,486,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,576 : 1,154,096 = 1,154,096 : x
  2. Step 2: Convert to fraction form
    535,576/1,154,096 = 1,154,096/x
  3. Step 3: Cross multiply
    535,576x = 1,154,096 × 1,154,096
  4. Step 4: Simplify right side
    535,576x = 1,331,937,577,216
  5. Step 5: Solve for x
    x = 1,331,937,577,216/535,576
  6. Step 6: Final answer
    x = 2,486,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.