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Finding the Third Proportional to 407,822 and 896,322

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Solution

The third proportional to 407,822 and 896,322 is: 1,969,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,822 : 896,322 = 896,322 : x
  2. Step 2: Convert to fraction form
    407,822/896,322 = 896,322/x
  3. Step 3: Cross multiply
    407,822x = 896,322 × 896,322
  4. Step 4: Simplify right side
    407,822x = 803,393,127,684
  5. Step 5: Solve for x
    x = 803,393,127,684/407,822
  6. Step 6: Final answer
    x = 1,969,960.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.