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Finding the Third Proportional to 453,843 and 977,705.44

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Solution

The third proportional to 453,843 and 977,705.44 is: 2,106,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,843 : 977,705.44 = 977,705.44 : x
  2. Step 2: Convert to fraction form
    453,843/977,705.44 = 977,705.44/x
  3. Step 3: Cross multiply
    453,843x = 977,705.44 × 977,705.44
  4. Step 4: Simplify right side
    453,843x = 955,907,922,517.07
  5. Step 5: Solve for x
    x = 955,907,922,517.07/453,843
  6. Step 6: Final answer
    x = 2,106,252.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.