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Finding the Third Proportional to 2,957,742 and 6,055,596

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Solution

The third proportional to 2,957,742 and 6,055,596 is: 12,398,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,742 : 6,055,596 = 6,055,596 : x
  2. Step 2: Convert to fraction form
    2,957,742/6,055,596 = 6,055,596/x
  3. Step 3: Cross multiply
    2,957,742x = 6,055,596 × 6,055,596
  4. Step 4: Simplify right side
    2,957,742x = 36,670,242,915,216
  5. Step 5: Solve for x
    x = 36,670,242,915,216/2,957,742
  6. Step 6: Final answer
    x = 12,398,053.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.