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Finding the Third Proportional to 920,648 and 2,008,642

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Solution

The third proportional to 920,648 and 2,008,642 is: 4,382,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,648 : 2,008,642 = 2,008,642 : x
  2. Step 2: Convert to fraction form
    920,648/2,008,642 = 2,008,642/x
  3. Step 3: Cross multiply
    920,648x = 2,008,642 × 2,008,642
  4. Step 4: Simplify right side
    920,648x = 4,034,642,684,164
  5. Step 5: Solve for x
    x = 4,034,642,684,164/920,648
  6. Step 6: Final answer
    x = 4,382,394.45

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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.