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Finding the Third Proportional to 1,909,445.06 and 4,117,825.69

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Solution

The third proportional to 1,909,445.06 and 4,117,825.69 is: 8,880,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,445.06 : 4,117,825.69 = 4,117,825.69 : x
  2. Step 2: Convert to fraction form
    1,909,445.06/4,117,825.69 = 4,117,825.69/x
  3. Step 3: Cross multiply
    1,909,445.06x = 4,117,825.69 × 4,117,825.69
  4. Step 4: Simplify right side
    1,909,445.06x = 16,956,488,392,634.85
  5. Step 5: Solve for x
    x = 16,956,488,392,634.85/1,909,445.06
  6. Step 6: Final answer
    x = 8,880,322.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.