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Finding the Third Proportional to 624,844 and 1,293,995

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Solution

The third proportional to 624,844 and 1,293,995 is: 2,679,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,844 : 1,293,995 = 1,293,995 : x
  2. Step 2: Convert to fraction form
    624,844/1,293,995 = 1,293,995/x
  3. Step 3: Cross multiply
    624,844x = 1,293,995 × 1,293,995
  4. Step 4: Simplify right side
    624,844x = 1,674,423,060,025
  5. Step 5: Solve for x
    x = 1,674,423,060,025/624,844
  6. Step 6: Final answer
    x = 2,679,745.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.