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Finding the Third Proportional to 1,566,138 and 3,419,904

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Solution

The third proportional to 1,566,138 and 3,419,904 is: 7,467,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,138 : 3,419,904 = 3,419,904 : x
  2. Step 2: Convert to fraction form
    1,566,138/3,419,904 = 3,419,904/x
  3. Step 3: Cross multiply
    1,566,138x = 3,419,904 × 3,419,904
  4. Step 4: Simplify right side
    1,566,138x = 11,695,743,369,216
  5. Step 5: Solve for x
    x = 11,695,743,369,216/1,566,138
  6. Step 6: Final answer
    x = 7,467,888.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.