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Finding the Third Proportional to 678,456 and 1,426,653

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Solution

The third proportional to 678,456 and 1,426,653 is: 2,999,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,456 : 1,426,653 = 1,426,653 : x
  2. Step 2: Convert to fraction form
    678,456/1,426,653 = 1,426,653/x
  3. Step 3: Cross multiply
    678,456x = 1,426,653 × 1,426,653
  4. Step 4: Simplify right side
    678,456x = 2,035,338,782,409
  5. Step 5: Solve for x
    x = 2,035,338,782,409/678,456
  6. Step 6: Final answer
    x = 2,999,956.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.