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Finding the Third Proportional to 416,736 and 896,748

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Solution

The third proportional to 416,736 and 896,748 is: 1,929,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,736 : 896,748 = 896,748 : x
  2. Step 2: Convert to fraction form
    416,736/896,748 = 896,748/x
  3. Step 3: Cross multiply
    416,736x = 896,748 × 896,748
  4. Step 4: Simplify right side
    416,736x = 804,156,975,504
  5. Step 5: Solve for x
    x = 804,156,975,504/416,736
  6. Step 6: Final answer
    x = 1,929,655.65

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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.