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Finding the Third Proportional to 690,082 and 1,501,663

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Solution

The third proportional to 690,082 and 1,501,663 is: 3,267,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,082 : 1,501,663 = 1,501,663 : x
  2. Step 2: Convert to fraction form
    690,082/1,501,663 = 1,501,663/x
  3. Step 3: Cross multiply
    690,082x = 1,501,663 × 1,501,663
  4. Step 4: Simplify right side
    690,082x = 2,254,991,765,569
  5. Step 5: Solve for x
    x = 2,254,991,765,569/690,082
  6. Step 6: Final answer
    x = 3,267,715.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.