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Finding the Third Proportional to 835,020 and 1,861,284

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Solution

The third proportional to 835,020 and 1,861,284 is: 4,148,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,020 : 1,861,284 = 1,861,284 : x
  2. Step 2: Convert to fraction form
    835,020/1,861,284 = 1,861,284/x
  3. Step 3: Cross multiply
    835,020x = 1,861,284 × 1,861,284
  4. Step 4: Simplify right side
    835,020x = 3,464,378,128,656
  5. Step 5: Solve for x
    x = 3,464,378,128,656/835,020
  6. Step 6: Final answer
    x = 4,148,856.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.