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Finding the Third Proportional to 2,106,038 and 4,548,306

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Solution

The third proportional to 2,106,038 and 4,548,306 is: 9,822,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,038 : 4,548,306 = 4,548,306 : x
  2. Step 2: Convert to fraction form
    2,106,038/4,548,306 = 4,548,306/x
  3. Step 3: Cross multiply
    2,106,038x = 4,548,306 × 4,548,306
  4. Step 4: Simplify right side
    2,106,038x = 20,687,087,469,636
  5. Step 5: Solve for x
    x = 20,687,087,469,636/2,106,038
  6. Step 6: Final answer
    x = 9,822,751.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.