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Finding the Third Proportional to 2,287,761 and 4,879,513.50

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Solution

The third proportional to 2,287,761 and 4,879,513.50 is: 10,407,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,761 : 4,879,513.50 = 4,879,513.50 : x
  2. Step 2: Convert to fraction form
    2,287,761/4,879,513.50 = 4,879,513.50/x
  3. Step 3: Cross multiply
    2,287,761x = 4,879,513.50 × 4,879,513.50
  4. Step 4: Simplify right side
    2,287,761x = 23,809,651,996,682.25
  5. Step 5: Solve for x
    x = 23,809,651,996,682.25/2,287,761
  6. Step 6: Final answer
    x = 10,407,403.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.