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Finding the Third Proportional to 1,407,021 and 2,863,724

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Solution

The third proportional to 1,407,021 and 2,863,724 is: 5,828,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,021 : 2,863,724 = 2,863,724 : x
  2. Step 2: Convert to fraction form
    1,407,021/2,863,724 = 2,863,724/x
  3. Step 3: Cross multiply
    1,407,021x = 2,863,724 × 2,863,724
  4. Step 4: Simplify right side
    1,407,021x = 8,200,915,148,176
  5. Step 5: Solve for x
    x = 8,200,915,148,176/1,407,021
  6. Step 6: Final answer
    x = 5,828,566.27

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Why These Related Problems?

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