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Finding the Third Proportional to 4,117,680 and 5,940,297

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Solution

The third proportional to 4,117,680 and 5,940,297 is: 8,569,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117,680 : 5,940,297 = 5,940,297 : x
  2. Step 2: Convert to fraction form
    4,117,680/5,940,297 = 5,940,297/x
  3. Step 3: Cross multiply
    4,117,680x = 5,940,297 × 5,940,297
  4. Step 4: Simplify right side
    4,117,680x = 35,287,128,448,209
  5. Step 5: Solve for x
    x = 35,287,128,448,209/4,117,680
  6. Step 6: Final answer
    x = 8,569,662.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.