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Finding the Third Proportional to 578,796 and 896,112

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Solution

The third proportional to 578,796 and 896,112 is: 1,387,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,796 : 896,112 = 896,112 : x
  2. Step 2: Convert to fraction form
    578,796/896,112 = 896,112/x
  3. Step 3: Cross multiply
    578,796x = 896,112 × 896,112
  4. Step 4: Simplify right side
    578,796x = 803,016,716,544
  5. Step 5: Solve for x
    x = 803,016,716,544/578,796
  6. Step 6: Final answer
    x = 1,387,391.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.