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Finding the Third Proportional to 401,115 and 880,953

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Solution

The third proportional to 401,115 and 880,953 is: 1,934,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,115 : 880,953 = 880,953 : x
  2. Step 2: Convert to fraction form
    401,115/880,953 = 880,953/x
  3. Step 3: Cross multiply
    401,115x = 880,953 × 880,953
  4. Step 4: Simplify right side
    401,115x = 776,078,188,209
  5. Step 5: Solve for x
    x = 776,078,188,209/401,115
  6. Step 6: Final answer
    x = 1,934,802.21

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Why These Related Problems?

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