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Finding the Third Proportional to 1,605,942 and 3,566,178

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Solution

The third proportional to 1,605,942 and 3,566,178 is: 7,919,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,942 : 3,566,178 = 3,566,178 : x
  2. Step 2: Convert to fraction form
    1,605,942/3,566,178 = 3,566,178/x
  3. Step 3: Cross multiply
    1,605,942x = 3,566,178 × 3,566,178
  4. Step 4: Simplify right side
    1,605,942x = 12,717,625,527,684
  5. Step 5: Solve for x
    x = 12,717,625,527,684/1,605,942
  6. Step 6: Final answer
    x = 7,919,106.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.