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Finding the Third Proportional to 540,096 and 1,163,292

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Solution

The third proportional to 540,096 and 1,163,292 is: 2,505,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,096 : 1,163,292 = 1,163,292 : x
  2. Step 2: Convert to fraction form
    540,096/1,163,292 = 1,163,292/x
  3. Step 3: Cross multiply
    540,096x = 1,163,292 × 1,163,292
  4. Step 4: Simplify right side
    540,096x = 1,353,248,277,264
  5. Step 5: Solve for x
    x = 1,353,248,277,264/540,096
  6. Step 6: Final answer
    x = 2,505,569.89

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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.