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Finding the Third Proportional to 3,421,710 and 5,296,367.25

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Solution

The third proportional to 3,421,710 and 5,296,367.25 is: 8,198,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,710 : 5,296,367.25 = 5,296,367.25 : x
  2. Step 2: Convert to fraction form
    3,421,710/5,296,367.25 = 5,296,367.25/x
  3. Step 3: Cross multiply
    3,421,710x = 5,296,367.25 × 5,296,367.25
  4. Step 4: Simplify right side
    3,421,710x = 28,051,506,046,872.56
  5. Step 5: Solve for x
    x = 28,051,506,046,872.56/3,421,710
  6. Step 6: Final answer
    x = 8,198,095.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.