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Finding the Third Proportional to 3,002,834.53 and 4,653,563.91

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Solution

The third proportional to 3,002,834.53 and 4,653,563.91 is: 7,211,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,834.53 : 4,653,563.91 = 4,653,563.91 : x
  2. Step 2: Convert to fraction form
    3,002,834.53/4,653,563.91 = 4,653,563.91/x
  3. Step 3: Cross multiply
    3,002,834.53x = 4,653,563.91 × 4,653,563.91
  4. Step 4: Simplify right side
    3,002,834.53x = 21,655,657,029,552.76
  5. Step 5: Solve for x
    x = 21,655,657,029,552.76/3,002,834.53
  6. Step 6: Final answer
    x = 7,211,738.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.