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Finding the Third Proportional to 405,082 and 886,403

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Solution

The third proportional to 405,082 and 886,403 is: 1,939,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,082 : 886,403 = 886,403 : x
  2. Step 2: Convert to fraction form
    405,082/886,403 = 886,403/x
  3. Step 3: Cross multiply
    405,082x = 886,403 × 886,403
  4. Step 4: Simplify right side
    405,082x = 785,710,278,409
  5. Step 5: Solve for x
    x = 785,710,278,409/405,082
  6. Step 6: Final answer
    x = 1,939,632.66

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Why These Related Problems?

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