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Finding the Third Proportional to 847,268.86 and 1,866,410.86

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Solution

The third proportional to 847,268.86 and 1,866,410.86 is: 4,111,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,268.86 : 1,866,410.86 = 1,866,410.86 : x
  2. Step 2: Convert to fraction form
    847,268.86/1,866,410.86 = 1,866,410.86/x
  3. Step 3: Cross multiply
    847,268.86x = 1,866,410.86 × 1,866,410.86
  4. Step 4: Simplify right side
    847,268.86x = 3,483,489,495,992.93
  5. Step 5: Solve for x
    x = 3,483,489,495,992.93/847,268.86
  6. Step 6: Final answer
    x = 4,111,433.41

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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.