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Finding the Third Proportional to 2,044,106 and 4,300,084

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Solution

The third proportional to 2,044,106 and 4,300,084 is: 9,045,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,106 : 4,300,084 = 4,300,084 : x
  2. Step 2: Convert to fraction form
    2,044,106/4,300,084 = 4,300,084/x
  3. Step 3: Cross multiply
    2,044,106x = 4,300,084 × 4,300,084
  4. Step 4: Simplify right side
    2,044,106x = 18,490,722,407,056
  5. Step 5: Solve for x
    x = 18,490,722,407,056/2,044,106
  6. Step 6: Final answer
    x = 9,045,872.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.