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Finding the Third Proportional to 2,933,728 and 4,668,138

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Solution

The third proportional to 2,933,728 and 4,668,138 is: 7,427,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933,728 : 4,668,138 = 4,668,138 : x
  2. Step 2: Convert to fraction form
    2,933,728/4,668,138 = 4,668,138/x
  3. Step 3: Cross multiply
    2,933,728x = 4,668,138 × 4,668,138
  4. Step 4: Simplify right side
    2,933,728x = 21,791,512,387,044
  5. Step 5: Solve for x
    x = 21,791,512,387,044/2,933,728
  6. Step 6: Final answer
    x = 7,427,925.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.