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Finding the Third Proportional to 3,527,297 and 4,967,235

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Solution

The third proportional to 3,527,297 and 4,967,235 is: 6,994,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,297 : 4,967,235 = 4,967,235 : x
  2. Step 2: Convert to fraction form
    3,527,297/4,967,235 = 4,967,235/x
  3. Step 3: Cross multiply
    3,527,297x = 4,967,235 × 4,967,235
  4. Step 4: Simplify right side
    3,527,297x = 24,673,423,545,225
  5. Step 5: Solve for x
    x = 24,673,423,545,225/3,527,297
  6. Step 6: Final answer
    x = 6,994,994.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.