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Finding the Third Proportional to 529,734 and 1,149,774

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Solution

The third proportional to 529,734 and 1,149,774 is: 2,495,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,734 : 1,149,774 = 1,149,774 : x
  2. Step 2: Convert to fraction form
    529,734/1,149,774 = 1,149,774/x
  3. Step 3: Cross multiply
    529,734x = 1,149,774 × 1,149,774
  4. Step 4: Simplify right side
    529,734x = 1,321,980,251,076
  5. Step 5: Solve for x
    x = 1,321,980,251,076/529,734
  6. Step 6: Final answer
    x = 2,495,554.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.