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Finding the Third Proportional to 382,752 and 893,997

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Solution

The third proportional to 382,752 and 893,997 is: 2,088,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,752 : 893,997 = 893,997 : x
  2. Step 2: Convert to fraction form
    382,752/893,997 = 893,997/x
  3. Step 3: Cross multiply
    382,752x = 893,997 × 893,997
  4. Step 4: Simplify right side
    382,752x = 799,230,636,009
  5. Step 5: Solve for x
    x = 799,230,636,009/382,752
  6. Step 6: Final answer
    x = 2,088,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.