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Finding the Third Proportional to 547,502 and 1,170,664

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Solution

The third proportional to 547,502 and 1,170,664 is: 2,503,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,502 : 1,170,664 = 1,170,664 : x
  2. Step 2: Convert to fraction form
    547,502/1,170,664 = 1,170,664/x
  3. Step 3: Cross multiply
    547,502x = 1,170,664 × 1,170,664
  4. Step 4: Simplify right side
    547,502x = 1,370,454,200,896
  5. Step 5: Solve for x
    x = 1,370,454,200,896/547,502
  6. Step 6: Final answer
    x = 2,503,103.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.