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Finding the Third Proportional to 405,081 and 887,922

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Solution

The third proportional to 405,081 and 887,922 is: 1,946,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081 : 887,922 = 887,922 : x
  2. Step 2: Convert to fraction form
    405,081/887,922 = 887,922/x
  3. Step 3: Cross multiply
    405,081x = 887,922 × 887,922
  4. Step 4: Simplify right side
    405,081x = 788,405,478,084
  5. Step 5: Solve for x
    x = 788,405,478,084/405,081
  6. Step 6: Final answer
    x = 1,946,290.93

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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.