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Finding the Third Proportional to 678,906 and 1,483,938

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Solution

The third proportional to 678,906 and 1,483,938 is: 3,243,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,906 : 1,483,938 = 1,483,938 : x
  2. Step 2: Convert to fraction form
    678,906/1,483,938 = 1,483,938/x
  3. Step 3: Cross multiply
    678,906x = 1,483,938 × 1,483,938
  4. Step 4: Simplify right side
    678,906x = 2,202,071,987,844
  5. Step 5: Solve for x
    x = 2,202,071,987,844/678,906
  6. Step 6: Final answer
    x = 3,243,559.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.