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Finding the Third Proportional to 1,923,102 and 4,113,018

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Solution

The third proportional to 1,923,102 and 4,113,018 is: 8,796,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,102 : 4,113,018 = 4,113,018 : x
  2. Step 2: Convert to fraction form
    1,923,102/4,113,018 = 4,113,018/x
  3. Step 3: Cross multiply
    1,923,102x = 4,113,018 × 4,113,018
  4. Step 4: Simplify right side
    1,923,102x = 16,916,917,068,324
  5. Step 5: Solve for x
    x = 16,916,917,068,324/1,923,102
  6. Step 6: Final answer
    x = 8,796,682.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.