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Finding the Third Proportional to 902,238 and 1,879,113

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Solution

The third proportional to 902,238 and 1,879,113 is: 3,913,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,238 : 1,879,113 = 1,879,113 : x
  2. Step 2: Convert to fraction form
    902,238/1,879,113 = 1,879,113/x
  3. Step 3: Cross multiply
    902,238x = 1,879,113 × 1,879,113
  4. Step 4: Simplify right side
    902,238x = 3,531,065,666,769
  5. Step 5: Solve for x
    x = 3,531,065,666,769/902,238
  6. Step 6: Final answer
    x = 3,913,674.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.