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Finding the Third Proportional to 546,711 and 1,199,685

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Solution

The third proportional to 546,711 and 1,199,685 is: 2,632,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,711 : 1,199,685 = 1,199,685 : x
  2. Step 2: Convert to fraction form
    546,711/1,199,685 = 1,199,685/x
  3. Step 3: Cross multiply
    546,711x = 1,199,685 × 1,199,685
  4. Step 4: Simplify right side
    546,711x = 1,439,244,099,225
  5. Step 5: Solve for x
    x = 1,439,244,099,225/546,711
  6. Step 6: Final answer
    x = 2,632,550.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.