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Finding the Third Proportional to 547,301 and 1,197,685

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Solution

The third proportional to 547,301 and 1,197,685 is: 2,620,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,301 : 1,197,685 = 1,197,685 : x
  2. Step 2: Convert to fraction form
    547,301/1,197,685 = 1,197,685/x
  3. Step 3: Cross multiply
    547,301x = 1,197,685 × 1,197,685
  4. Step 4: Simplify right side
    547,301x = 1,434,449,359,225
  5. Step 5: Solve for x
    x = 1,434,449,359,225/547,301
  6. Step 6: Final answer
    x = 2,620,951.47

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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.