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Finding the Third Proportional to 379,752 and 896,443

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Solution

The third proportional to 379,752 and 896,443 is: 2,116,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,752 : 896,443 = 896,443 : x
  2. Step 2: Convert to fraction form
    379,752/896,443 = 896,443/x
  3. Step 3: Cross multiply
    379,752x = 896,443 × 896,443
  4. Step 4: Simplify right side
    379,752x = 803,610,052,249
  5. Step 5: Solve for x
    x = 803,610,052,249/379,752
  6. Step 6: Final answer
    x = 2,116,144.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.