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Finding the Third Proportional to 678,904 and 1,483,934

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Solution

The third proportional to 678,904 and 1,483,934 is: 3,243,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,904 : 1,483,934 = 1,483,934 : x
  2. Step 2: Convert to fraction form
    678,904/1,483,934 = 1,483,934/x
  3. Step 3: Cross multiply
    678,904x = 1,483,934 × 1,483,934
  4. Step 4: Simplify right side
    678,904x = 2,202,060,116,356
  5. Step 5: Solve for x
    x = 2,202,060,116,356/678,904
  6. Step 6: Final answer
    x = 3,243,551.54

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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.