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Finding the Third Proportional to 404,534 and 886,828

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Solution

The third proportional to 404,534 and 886,828 is: 1,944,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,534 : 886,828 = 886,828 : x
  2. Step 2: Convert to fraction form
    404,534/886,828 = 886,828/x
  3. Step 3: Cross multiply
    404,534x = 886,828 × 886,828
  4. Step 4: Simplify right side
    404,534x = 786,463,901,584
  5. Step 5: Solve for x
    x = 786,463,901,584/404,534
  6. Step 6: Final answer
    x = 1,944,123.12

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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.