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Finding the Third Proportional to 416,738 and 896,752

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Solution

The third proportional to 416,738 and 896,752 is: 1,929,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,738 : 896,752 = 896,752 : x
  2. Step 2: Convert to fraction form
    416,738/896,752 = 896,752/x
  3. Step 3: Cross multiply
    416,738x = 896,752 × 896,752
  4. Step 4: Simplify right side
    416,738x = 804,164,149,504
  5. Step 5: Solve for x
    x = 804,164,149,504/416,738
  6. Step 6: Final answer
    x = 1,929,663.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.