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Finding the Third Proportional to 556,150 and 1,214,284

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Solution

The third proportional to 556,150 and 1,214,284 is: 2,651,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,150 : 1,214,284 = 1,214,284 : x
  2. Step 2: Convert to fraction form
    556,150/1,214,284 = 1,214,284/x
  3. Step 3: Cross multiply
    556,150x = 1,214,284 × 1,214,284
  4. Step 4: Simplify right side
    556,150x = 1,474,485,632,656
  5. Step 5: Solve for x
    x = 1,474,485,632,656/556,150
  6. Step 6: Final answer
    x = 2,651,237.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.