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Finding the Third Proportional to 1,092,312 and 2,322,405

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Solution

The third proportional to 1,092,312 and 2,322,405 is: 4,937,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,312 : 2,322,405 = 2,322,405 : x
  2. Step 2: Convert to fraction form
    1,092,312/2,322,405 = 2,322,405/x
  3. Step 3: Cross multiply
    1,092,312x = 2,322,405 × 2,322,405
  4. Step 4: Simplify right side
    1,092,312x = 5,393,564,984,025
  5. Step 5: Solve for x
    x = 5,393,564,984,025/1,092,312
  6. Step 6: Final answer
    x = 4,937,751.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.