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Finding the Third Proportional to 562,869 and 1,232,823

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Solution

The third proportional to 562,869 and 1,232,823 is: 2,700,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,869 : 1,232,823 = 1,232,823 : x
  2. Step 2: Convert to fraction form
    562,869/1,232,823 = 1,232,823/x
  3. Step 3: Cross multiply
    562,869x = 1,232,823 × 1,232,823
  4. Step 4: Simplify right side
    562,869x = 1,519,852,549,329
  5. Step 5: Solve for x
    x = 1,519,852,549,329/562,869
  6. Step 6: Final answer
    x = 2,700,188.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.