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Finding the Third Proportional to 405,965 and 881,095

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Solution

The third proportional to 405,965 and 881,095 is: 1,912,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965 : 881,095 = 881,095 : x
  2. Step 2: Convert to fraction form
    405,965/881,095 = 881,095/x
  3. Step 3: Cross multiply
    405,965x = 881,095 × 881,095
  4. Step 4: Simplify right side
    405,965x = 776,328,399,025
  5. Step 5: Solve for x
    x = 776,328,399,025/405,965
  6. Step 6: Final answer
    x = 1,912,303.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.