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Finding the Third Proportional to 404,938 and 886,148

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Solution

The third proportional to 404,938 and 886,148 is: 1,939,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,938 : 886,148 = 886,148 : x
  2. Step 2: Convert to fraction form
    404,938/886,148 = 886,148/x
  3. Step 3: Cross multiply
    404,938x = 886,148 × 886,148
  4. Step 4: Simplify right side
    404,938x = 785,258,277,904
  5. Step 5: Solve for x
    x = 785,258,277,904/404,938
  6. Step 6: Final answer
    x = 1,939,206.19

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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.