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Finding the Third Proportional to 1,827,440 and 2,678,824

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Solution

The third proportional to 1,827,440 and 2,678,824 is: 3,926,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,440 : 2,678,824 = 2,678,824 : x
  2. Step 2: Convert to fraction form
    1,827,440/2,678,824 = 2,678,824/x
  3. Step 3: Cross multiply
    1,827,440x = 2,678,824 × 2,678,824
  4. Step 4: Simplify right side
    1,827,440x = 7,176,098,022,976
  5. Step 5: Solve for x
    x = 7,176,098,022,976/1,827,440
  6. Step 6: Final answer
    x = 3,926,858.35

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