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Finding the Third Proportional to 763,494 and 1,144,773

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Solution

The third proportional to 763,494 and 1,144,773 is: 1,716,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,494 : 1,144,773 = 1,144,773 : x
  2. Step 2: Convert to fraction form
    763,494/1,144,773 = 1,144,773/x
  3. Step 3: Cross multiply
    763,494x = 1,144,773 × 1,144,773
  4. Step 4: Simplify right side
    763,494x = 1,310,505,221,529
  5. Step 5: Solve for x
    x = 1,310,505,221,529/763,494
  6. Step 6: Final answer
    x = 1,716,457.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.