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Finding the Third Proportional to 864,858 and 1,892,614

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Solution

The third proportional to 864,858 and 1,892,614 is: 4,141,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,858 : 1,892,614 = 1,892,614 : x
  2. Step 2: Convert to fraction form
    864,858/1,892,614 = 1,892,614/x
  3. Step 3: Cross multiply
    864,858x = 1,892,614 × 1,892,614
  4. Step 4: Simplify right side
    864,858x = 3,581,987,752,996
  5. Step 5: Solve for x
    x = 3,581,987,752,996/864,858
  6. Step 6: Final answer
    x = 4,141,706.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.