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Finding the Third Proportional to 746,268 and 1,125,647

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Solution

The third proportional to 746,268 and 1,125,647 is: 1,697,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,268 : 1,125,647 = 1,125,647 : x
  2. Step 2: Convert to fraction form
    746,268/1,125,647 = 1,125,647/x
  3. Step 3: Cross multiply
    746,268x = 1,125,647 × 1,125,647
  4. Step 4: Simplify right side
    746,268x = 1,267,081,168,609
  5. Step 5: Solve for x
    x = 1,267,081,168,609/746,268
  6. Step 6: Final answer
    x = 1,697,890.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.