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Finding the Third Proportional to 1,072,964 and 2,234,044

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Solution

The third proportional to 1,072,964 and 2,234,044 is: 4,651,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,964 : 2,234,044 = 2,234,044 : x
  2. Step 2: Convert to fraction form
    1,072,964/2,234,044 = 2,234,044/x
  3. Step 3: Cross multiply
    1,072,964x = 2,234,044 × 2,234,044
  4. Step 4: Simplify right side
    1,072,964x = 4,990,952,593,936
  5. Step 5: Solve for x
    x = 4,990,952,593,936/1,072,964
  6. Step 6: Final answer
    x = 4,651,556.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.