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Finding the Third Proportional to 621,738 and 934,914

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Solution

The third proportional to 621,738 and 934,914 is: 1,405,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 934,914 = 934,914 : x
  2. Step 2: Convert to fraction form
    621,738/934,914 = 934,914/x
  3. Step 3: Cross multiply
    621,738x = 934,914 × 934,914
  4. Step 4: Simplify right side
    621,738x = 874,064,187,396
  5. Step 5: Solve for x
    x = 874,064,187,396/621,738
  6. Step 6: Final answer
    x = 1,405,840.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.