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Finding the Third Proportional to 1,900,513 and 4,098,093.50

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Solution

The third proportional to 1,900,513 and 4,098,093.50 is: 8,836,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,513 : 4,098,093.50 = 4,098,093.50 : x
  2. Step 2: Convert to fraction form
    1,900,513/4,098,093.50 = 4,098,093.50/x
  3. Step 3: Cross multiply
    1,900,513x = 4,098,093.50 × 4,098,093.50
  4. Step 4: Simplify right side
    1,900,513x = 16,794,370,334,742.25
  5. Step 5: Solve for x
    x = 16,794,370,334,742.25/1,900,513
  6. Step 6: Final answer
    x = 8,836,756.36

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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.