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Finding the Third Proportional to 493,465 and 1,061,773

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Solution

The third proportional to 493,465 and 1,061,773 is: 2,284,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,465 : 1,061,773 = 1,061,773 : x
  2. Step 2: Convert to fraction form
    493,465/1,061,773 = 1,061,773/x
  3. Step 3: Cross multiply
    493,465x = 1,061,773 × 1,061,773
  4. Step 4: Simplify right side
    493,465x = 1,127,361,903,529
  5. Step 5: Solve for x
    x = 1,127,361,903,529/493,465
  6. Step 6: Final answer
    x = 2,284,583.31

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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.