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Finding the Third Proportional to 422,316 and 896,448

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Solution

The third proportional to 422,316 and 896,448 is: 1,902,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,316 : 896,448 = 896,448 : x
  2. Step 2: Convert to fraction form
    422,316/896,448 = 896,448/x
  3. Step 3: Cross multiply
    422,316x = 896,448 × 896,448
  4. Step 4: Simplify right side
    422,316x = 803,619,016,704
  5. Step 5: Solve for x
    x = 803,619,016,704/422,316
  6. Step 6: Final answer
    x = 1,902,885.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.