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Finding the Third Proportional to 1,034,364.94 and 2,193,125.63

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Solution

The third proportional to 1,034,364.94 and 2,193,125.63 is: 4,650,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,364.94 : 2,193,125.63 = 2,193,125.63 : x
  2. Step 2: Convert to fraction form
    1,034,364.94/2,193,125.63 = 2,193,125.63/x
  3. Step 3: Cross multiply
    1,034,364.94x = 2,193,125.63 × 2,193,125.63
  4. Step 4: Simplify right side
    1,034,364.94x = 4,809,800,007,031.64
  5. Step 5: Solve for x
    x = 4,809,800,007,031.64/1,034,364.94
  6. Step 6: Final answer
    x = 4,650,002.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.