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Finding the Third Proportional to 1,834,755.05 and 3,905,706.09

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Solution

The third proportional to 1,834,755.05 and 3,905,706.09 is: 8,314,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,755.05 : 3,905,706.09 = 3,905,706.09 : x
  2. Step 2: Convert to fraction form
    1,834,755.05/3,905,706.09 = 3,905,706.09/x
  3. Step 3: Cross multiply
    1,834,755.05x = 3,905,706.09 × 3,905,706.09
  4. Step 4: Simplify right side
    1,834,755.05x = 15,254,540,090,755.88
  5. Step 5: Solve for x
    x = 15,254,540,090,755.88/1,834,755.05
  6. Step 6: Final answer
    x = 8,314,210.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.