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Finding the Third Proportional to 663,223.50 and 1,421,082

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Solution

The third proportional to 663,223.50 and 1,421,082 is: 3,044,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,223.50 : 1,421,082 = 1,421,082 : x
  2. Step 2: Convert to fraction form
    663,223.50/1,421,082 = 1,421,082/x
  3. Step 3: Cross multiply
    663,223.50x = 1,421,082 × 1,421,082
  4. Step 4: Simplify right side
    663,223.50x = 2,019,474,050,724
  5. Step 5: Solve for x
    x = 2,019,474,050,724/663,223.50
  6. Step 6: Final answer
    x = 3,044,937.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.