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Finding the Third Proportional to 3,303,850 and 4,652,623

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Solution

The third proportional to 3,303,850 and 4,652,623 is: 6,552,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303,850 : 4,652,623 = 4,652,623 : x
  2. Step 2: Convert to fraction form
    3,303,850/4,652,623 = 4,652,623/x
  3. Step 3: Cross multiply
    3,303,850x = 4,652,623 × 4,652,623
  4. Step 4: Simplify right side
    3,303,850x = 21,646,900,780,129
  5. Step 5: Solve for x
    x = 21,646,900,780,129/3,303,850
  6. Step 6: Final answer
    x = 6,552,022.88

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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.