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Finding the Third Proportional to 405,114 and 886,508

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Solution

The third proportional to 405,114 and 886,508 is: 1,939,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,114 : 886,508 = 886,508 : x
  2. Step 2: Convert to fraction form
    405,114/886,508 = 886,508/x
  3. Step 3: Cross multiply
    405,114x = 886,508 × 886,508
  4. Step 4: Simplify right side
    405,114x = 785,896,434,064
  5. Step 5: Solve for x
    x = 785,896,434,064/405,114
  6. Step 6: Final answer
    x = 1,939,938.97

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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.