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Finding the Third Proportional to 2,946,165 and 6,342,594

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Solution

The third proportional to 2,946,165 and 6,342,594 is: 13,654,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,165 : 6,342,594 = 6,342,594 : x
  2. Step 2: Convert to fraction form
    2,946,165/6,342,594 = 6,342,594/x
  3. Step 3: Cross multiply
    2,946,165x = 6,342,594 × 6,342,594
  4. Step 4: Simplify right side
    2,946,165x = 40,228,498,648,836
  5. Step 5: Solve for x
    x = 40,228,498,648,836/2,946,165
  6. Step 6: Final answer
    x = 13,654,530.09

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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.