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Finding the Third Proportional to 1,827,443 and 2,678,827

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Solution

The third proportional to 1,827,443 and 2,678,827 is: 3,926,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,443 : 2,678,827 = 2,678,827 : x
  2. Step 2: Convert to fraction form
    1,827,443/2,678,827 = 2,678,827/x
  3. Step 3: Cross multiply
    1,827,443x = 2,678,827 × 2,678,827
  4. Step 4: Simplify right side
    1,827,443x = 7,176,114,095,929
  5. Step 5: Solve for x
    x = 7,176,114,095,929/1,827,443
  6. Step 6: Final answer
    x = 3,926,860.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.