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Finding the Third Proportional to 3,947,770 and 5,784,780

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Solution

The third proportional to 3,947,770 and 5,784,780 is: 8,476,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,770 : 5,784,780 = 5,784,780 : x
  2. Step 2: Convert to fraction form
    3,947,770/5,784,780 = 5,784,780/x
  3. Step 3: Cross multiply
    3,947,770x = 5,784,780 × 5,784,780
  4. Step 4: Simplify right side
    3,947,770x = 33,463,679,648,400
  5. Step 5: Solve for x
    x = 33,463,679,648,400/3,947,770
  6. Step 6: Final answer
    x = 8,476,603.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.