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Finding the Third Proportional to 1,407,024 and 2,863,728

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Solution

The third proportional to 1,407,024 and 2,863,728 is: 5,828,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,024 : 2,863,728 = 2,863,728 : x
  2. Step 2: Convert to fraction form
    1,407,024/2,863,728 = 2,863,728/x
  3. Step 3: Cross multiply
    1,407,024x = 2,863,728 × 2,863,728
  4. Step 4: Simplify right side
    1,407,024x = 8,200,938,057,984
  5. Step 5: Solve for x
    x = 8,200,938,057,984/1,407,024
  6. Step 6: Final answer
    x = 5,828,570.13

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.