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Finding the Third Proportional to 623,082 and 1,364,082

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Solution

The third proportional to 623,082 and 1,364,082 is: 2,986,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,082 : 1,364,082 = 1,364,082 : x
  2. Step 2: Convert to fraction form
    623,082/1,364,082 = 1,364,082/x
  3. Step 3: Cross multiply
    623,082x = 1,364,082 × 1,364,082
  4. Step 4: Simplify right side
    623,082x = 1,860,719,702,724
  5. Step 5: Solve for x
    x = 1,860,719,702,724/623,082
  6. Step 6: Final answer
    x = 2,986,315.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.