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Finding the Third Proportional to 405,053 and 886,468

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Solution

The third proportional to 405,053 and 886,468 is: 1,940,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,053 : 886,468 = 886,468 : x
  2. Step 2: Convert to fraction form
    405,053/886,468 = 886,468/x
  3. Step 3: Cross multiply
    405,053x = 886,468 × 886,468
  4. Step 4: Simplify right side
    405,053x = 785,825,515,024
  5. Step 5: Solve for x
    x = 785,825,515,024/405,053
  6. Step 6: Final answer
    x = 1,940,056.03

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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.