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Finding the Third Proportional to 405,065 and 886,414

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Solution

The third proportional to 405,065 and 886,414 is: 1,939,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,065 : 886,414 = 886,414 : x
  2. Step 2: Convert to fraction form
    405,065/886,414 = 886,414/x
  3. Step 3: Cross multiply
    405,065x = 886,414 × 886,414
  4. Step 4: Simplify right side
    405,065x = 785,729,779,396
  5. Step 5: Solve for x
    x = 785,729,779,396/405,065
  6. Step 6: Final answer
    x = 1,939,762.21

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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.