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Finding the Third Proportional to 4,192,510 and 6,649,341

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Solution

The third proportional to 4,192,510 and 6,649,341 is: 10,545,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192,510 : 6,649,341 = 6,649,341 : x
  2. Step 2: Convert to fraction form
    4,192,510/6,649,341 = 6,649,341/x
  3. Step 3: Cross multiply
    4,192,510x = 6,649,341 × 6,649,341
  4. Step 4: Simplify right side
    4,192,510x = 44,213,735,734,281
  5. Step 5: Solve for x
    x = 44,213,735,734,281/4,192,510
  6. Step 6: Final answer
    x = 10,545,886.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.