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Finding the Third Proportional to 540,159 and 1,177,512

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Solution

The third proportional to 540,159 and 1,177,512 is: 2,566,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,159 : 1,177,512 = 1,177,512 : x
  2. Step 2: Convert to fraction form
    540,159/1,177,512 = 1,177,512/x
  3. Step 3: Cross multiply
    540,159x = 1,177,512 × 1,177,512
  4. Step 4: Simplify right side
    540,159x = 1,386,534,510,144
  5. Step 5: Solve for x
    x = 1,386,534,510,144/540,159
  6. Step 6: Final answer
    x = 2,566,900.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.