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Finding the Third Proportional to 2,912,296 and 4,558,574

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Solution

The third proportional to 2,912,296 and 4,558,574 is: 7,135,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,296 : 4,558,574 = 4,558,574 : x
  2. Step 2: Convert to fraction form
    2,912,296/4,558,574 = 4,558,574/x
  3. Step 3: Cross multiply
    2,912,296x = 4,558,574 × 4,558,574
  4. Step 4: Simplify right side
    2,912,296x = 20,780,596,913,476
  5. Step 5: Solve for x
    x = 20,780,596,913,476/2,912,296
  6. Step 6: Final answer
    x = 7,135,468.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.