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Finding the Third Proportional to 468,284 and 1,007,656

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Solution

The third proportional to 468,284 and 1,007,656 is: 2,168,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,284 : 1,007,656 = 1,007,656 : x
  2. Step 2: Convert to fraction form
    468,284/1,007,656 = 1,007,656/x
  3. Step 3: Cross multiply
    468,284x = 1,007,656 × 1,007,656
  4. Step 4: Simplify right side
    468,284x = 1,015,370,614,336
  5. Step 5: Solve for x
    x = 1,015,370,614,336/468,284
  6. Step 6: Final answer
    x = 2,168,279.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.