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Finding the Third Proportional to 1,598,014 and 3,433,197

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Solution

The third proportional to 1,598,014 and 3,433,197 is: 7,375,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,014 : 3,433,197 = 3,433,197 : x
  2. Step 2: Convert to fraction form
    1,598,014/3,433,197 = 3,433,197/x
  3. Step 3: Cross multiply
    1,598,014x = 3,433,197 × 3,433,197
  4. Step 4: Simplify right side
    1,598,014x = 11,786,841,640,809
  5. Step 5: Solve for x
    x = 11,786,841,640,809/1,598,014
  6. Step 6: Final answer
    x = 7,375,931.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.