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Finding the Third Proportional to 623,081 and 1,351,138

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Solution

The third proportional to 623,081 and 1,351,138 is: 2,929,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,081 : 1,351,138 = 1,351,138 : x
  2. Step 2: Convert to fraction form
    623,081/1,351,138 = 1,351,138/x
  3. Step 3: Cross multiply
    623,081x = 1,351,138 × 1,351,138
  4. Step 4: Simplify right side
    623,081x = 1,825,573,895,044
  5. Step 5: Solve for x
    x = 1,825,573,895,044/623,081
  6. Step 6: Final answer
    x = 2,929,914.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.