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Finding the Third Proportional to 1,957,400 and 2,994,609

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Solution

The third proportional to 1,957,400 and 2,994,609 is: 4,581,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,400 : 2,994,609 = 2,994,609 : x
  2. Step 2: Convert to fraction form
    1,957,400/2,994,609 = 2,994,609/x
  3. Step 3: Cross multiply
    1,957,400x = 2,994,609 × 2,994,609
  4. Step 4: Simplify right side
    1,957,400x = 8,967,683,062,881
  5. Step 5: Solve for x
    x = 8,967,683,062,881/1,957,400
  6. Step 6: Final answer
    x = 4,581,425.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.