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Finding the Third Proportional to 741,052 and 1,614,644

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Solution

The third proportional to 741,052 and 1,614,644 is: 3,518,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,052 : 1,614,644 = 1,614,644 : x
  2. Step 2: Convert to fraction form
    741,052/1,614,644 = 1,614,644/x
  3. Step 3: Cross multiply
    741,052x = 1,614,644 × 1,614,644
  4. Step 4: Simplify right side
    741,052x = 2,607,075,246,736
  5. Step 5: Solve for x
    x = 2,607,075,246,736/741,052
  6. Step 6: Final answer
    x = 3,518,073.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.