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Finding the Third Proportional to 535,494 and 1,174,506

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Solution

The third proportional to 535,494 and 1,174,506 is: 2,576,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,494 : 1,174,506 = 1,174,506 : x
  2. Step 2: Convert to fraction form
    535,494/1,174,506 = 1,174,506/x
  3. Step 3: Cross multiply
    535,494x = 1,174,506 × 1,174,506
  4. Step 4: Simplify right side
    535,494x = 1,379,464,344,036
  5. Step 5: Solve for x
    x = 1,379,464,344,036/535,494
  6. Step 6: Final answer
    x = 2,576,059.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.