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Finding the Third Proportional to 415,562 and 894,684

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Solution

The third proportional to 415,562 and 894,684 is: 1,926,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,562 : 894,684 = 894,684 : x
  2. Step 2: Convert to fraction form
    415,562/894,684 = 894,684/x
  3. Step 3: Cross multiply
    415,562x = 894,684 × 894,684
  4. Step 4: Simplify right side
    415,562x = 800,459,459,856
  5. Step 5: Solve for x
    x = 800,459,459,856/415,562
  6. Step 6: Final answer
    x = 1,926,209.47

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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.