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Finding the Third Proportional to 405,738 and 867,760

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Solution

The third proportional to 405,738 and 867,760 is: 1,855,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,738 : 867,760 = 867,760 : x
  2. Step 2: Convert to fraction form
    405,738/867,760 = 867,760/x
  3. Step 3: Cross multiply
    405,738x = 867,760 × 867,760
  4. Step 4: Simplify right side
    405,738x = 753,007,417,600
  5. Step 5: Solve for x
    x = 753,007,417,600/405,738
  6. Step 6: Final answer
    x = 1,855,895.72

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Why These Related Problems?

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