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Finding the Third Proportional to 1,778,941 and 3,828,057

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Solution

The third proportional to 1,778,941 and 3,828,057 is: 8,237,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,941 : 3,828,057 = 3,828,057 : x
  2. Step 2: Convert to fraction form
    1,778,941/3,828,057 = 3,828,057/x
  3. Step 3: Cross multiply
    1,778,941x = 3,828,057 × 3,828,057
  4. Step 4: Simplify right side
    1,778,941x = 14,654,020,395,249
  5. Step 5: Solve for x
    x = 14,654,020,395,249/1,778,941
  6. Step 6: Final answer
    x = 8,237,496.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.