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Finding the Third Proportional to 497,410 and 1,065,734

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Solution

The third proportional to 497,410 and 1,065,734 is: 2,283,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,410 : 1,065,734 = 1,065,734 : x
  2. Step 2: Convert to fraction form
    497,410/1,065,734 = 1,065,734/x
  3. Step 3: Cross multiply
    497,410x = 1,065,734 × 1,065,734
  4. Step 4: Simplify right side
    497,410x = 1,135,788,958,756
  5. Step 5: Solve for x
    x = 1,135,788,958,756/497,410
  6. Step 6: Final answer
    x = 2,283,405.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.