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Finding the Third Proportional to 1,869,344 and 4,066,738

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Solution

The third proportional to 1,869,344 and 4,066,738 is: 8,847,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,344 : 4,066,738 = 4,066,738 : x
  2. Step 2: Convert to fraction form
    1,869,344/4,066,738 = 4,066,738/x
  3. Step 3: Cross multiply
    1,869,344x = 4,066,738 × 4,066,738
  4. Step 4: Simplify right side
    1,869,344x = 16,538,357,960,644
  5. Step 5: Solve for x
    x = 16,538,357,960,644/1,869,344
  6. Step 6: Final answer
    x = 8,847,145.29

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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.