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Finding the Third Proportional to 404,698 and 886,752

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Solution

The third proportional to 404,698 and 886,752 is: 1,943,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,698 : 886,752 = 886,752 : x
  2. Step 2: Convert to fraction form
    404,698/886,752 = 886,752/x
  3. Step 3: Cross multiply
    404,698x = 886,752 × 886,752
  4. Step 4: Simplify right side
    404,698x = 786,329,109,504
  5. Step 5: Solve for x
    x = 786,329,109,504/404,698
  6. Step 6: Final answer
    x = 1,943,002.21

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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.