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Finding the Third Proportional to 791,082 and 1,705,360

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Solution

The third proportional to 791,082 and 1,705,360 is: 3,676,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,082 : 1,705,360 = 1,705,360 : x
  2. Step 2: Convert to fraction form
    791,082/1,705,360 = 1,705,360/x
  3. Step 3: Cross multiply
    791,082x = 1,705,360 × 1,705,360
  4. Step 4: Simplify right side
    791,082x = 2,908,252,729,600
  5. Step 5: Solve for x
    x = 2,908,252,729,600/791,082
  6. Step 6: Final answer
    x = 3,676,297.44

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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.