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Finding the Third Proportional to 2,624,424 and 4,285,416

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Solution

The third proportional to 2,624,424 and 4,285,416 is: 6,997,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624,424 : 4,285,416 = 4,285,416 : x
  2. Step 2: Convert to fraction form
    2,624,424/4,285,416 = 4,285,416/x
  3. Step 3: Cross multiply
    2,624,424x = 4,285,416 × 4,285,416
  4. Step 4: Simplify right side
    2,624,424x = 18,364,790,293,056
  5. Step 5: Solve for x
    x = 18,364,790,293,056/2,624,424
  6. Step 6: Final answer
    x = 6,997,646.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.