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Finding the Third Proportional to 789,264 and 1,704,654

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Solution

The third proportional to 789,264 and 1,704,654 is: 3,681,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,264 : 1,704,654 = 1,704,654 : x
  2. Step 2: Convert to fraction form
    789,264/1,704,654 = 1,704,654/x
  3. Step 3: Cross multiply
    789,264x = 1,704,654 × 1,704,654
  4. Step 4: Simplify right side
    789,264x = 2,905,845,259,716
  5. Step 5: Solve for x
    x = 2,905,845,259,716/789,264
  6. Step 6: Final answer
    x = 3,681,715.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.