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Finding the Third Proportional to 1,897,474 and 4,164,110

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Solution

The third proportional to 1,897,474 and 4,164,110 is: 9,138,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,474 : 4,164,110 = 4,164,110 : x
  2. Step 2: Convert to fraction form
    1,897,474/4,164,110 = 4,164,110/x
  3. Step 3: Cross multiply
    1,897,474x = 4,164,110 × 4,164,110
  4. Step 4: Simplify right side
    1,897,474x = 17,339,812,092,100
  5. Step 5: Solve for x
    x = 17,339,812,092,100/1,897,474
  6. Step 6: Final answer
    x = 9,138,366.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.