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Finding the Third Proportional to 3,085,294 and 6,644,704

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Solution

The third proportional to 3,085,294 and 6,644,704 is: 14,310,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,294 : 6,644,704 = 6,644,704 : x
  2. Step 2: Convert to fraction form
    3,085,294/6,644,704 = 6,644,704/x
  3. Step 3: Cross multiply
    3,085,294x = 6,644,704 × 6,644,704
  4. Step 4: Simplify right side
    3,085,294x = 44,152,091,247,616
  5. Step 5: Solve for x
    x = 44,152,091,247,616/3,085,294
  6. Step 6: Final answer
    x = 14,310,497.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.