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Finding the Third Proportional to 1,897,472.25 and 4,164,107.06

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Solution

The third proportional to 1,897,472.25 and 4,164,107.06 is: 9,138,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,472.25 : 4,164,107.06 = 4,164,107.06 : x
  2. Step 2: Convert to fraction form
    1,897,472.25/4,164,107.06 = 4,164,107.06/x
  3. Step 3: Cross multiply
    1,897,472.25x = 4,164,107.06 × 4,164,107.06
  4. Step 4: Simplify right side
    1,897,472.25x = 17,339,787,627,962.38
  5. Step 5: Solve for x
    x = 17,339,787,627,962.38/1,897,472.25
  6. Step 6: Final answer
    x = 9,138,361.64

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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.