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Finding the Third Proportional to 546,734 and 1,183,324

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Solution

The third proportional to 546,734 and 1,183,324 is: 2,561,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,734 : 1,183,324 = 1,183,324 : x
  2. Step 2: Convert to fraction form
    546,734/1,183,324 = 1,183,324/x
  3. Step 3: Cross multiply
    546,734x = 1,183,324 × 1,183,324
  4. Step 4: Simplify right side
    546,734x = 1,400,255,688,976
  5. Step 5: Solve for x
    x = 1,400,255,688,976/546,734
  6. Step 6: Final answer
    x = 2,561,127.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.