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Finding the Third Proportional to 3,102,115 and 4,656,453

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Solution

The third proportional to 3,102,115 and 4,656,453 is: 6,989,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,115 : 4,656,453 = 4,656,453 : x
  2. Step 2: Convert to fraction form
    3,102,115/4,656,453 = 4,656,453/x
  3. Step 3: Cross multiply
    3,102,115x = 4,656,453 × 4,656,453
  4. Step 4: Simplify right side
    3,102,115x = 21,682,554,541,209
  5. Step 5: Solve for x
    x = 21,682,554,541,209/3,102,115
  6. Step 6: Final answer
    x = 6,989,603.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.