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Finding the Third Proportional to 741,054 and 1,614,648

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Solution

The third proportional to 741,054 and 1,614,648 is: 3,518,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,054 : 1,614,648 = 1,614,648 : x
  2. Step 2: Convert to fraction form
    741,054/1,614,648 = 1,614,648/x
  3. Step 3: Cross multiply
    741,054x = 1,614,648 × 1,614,648
  4. Step 4: Simplify right side
    741,054x = 2,607,088,163,904
  5. Step 5: Solve for x
    x = 2,607,088,163,904/741,054
  6. Step 6: Final answer
    x = 3,518,081.22

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