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Finding the Third Proportional to 922,078 and 1,889,677

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Solution

The third proportional to 922,078 and 1,889,677 is: 3,872,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,078 : 1,889,677 = 1,889,677 : x
  2. Step 2: Convert to fraction form
    922,078/1,889,677 = 1,889,677/x
  3. Step 3: Cross multiply
    922,078x = 1,889,677 × 1,889,677
  4. Step 4: Simplify right side
    922,078x = 3,570,879,164,329
  5. Step 5: Solve for x
    x = 3,570,879,164,329/922,078
  6. Step 6: Final answer
    x = 3,872,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.