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Finding the Third Proportional to 438,728 and 957,752

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Solution

The third proportional to 438,728 and 957,752 is: 2,090,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,728 : 957,752 = 957,752 : x
  2. Step 2: Convert to fraction form
    438,728/957,752 = 957,752/x
  3. Step 3: Cross multiply
    438,728x = 957,752 × 957,752
  4. Step 4: Simplify right side
    438,728x = 917,288,893,504
  5. Step 5: Solve for x
    x = 917,288,893,504/438,728
  6. Step 6: Final answer
    x = 2,090,791.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.