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Finding the Third Proportional to 544,320 and 1,153,530

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Solution

The third proportional to 544,320 and 1,153,530 is: 2,444,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,320 : 1,153,530 = 1,153,530 : x
  2. Step 2: Convert to fraction form
    544,320/1,153,530 = 1,153,530/x
  3. Step 3: Cross multiply
    544,320x = 1,153,530 × 1,153,530
  4. Step 4: Simplify right side
    544,320x = 1,330,631,460,900
  5. Step 5: Solve for x
    x = 1,330,631,460,900/544,320
  6. Step 6: Final answer
    x = 2,444,575.73

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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.