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Finding the Third Proportional to 460,596 and 999,867

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Solution

The third proportional to 460,596 and 999,867 is: 2,170,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,596 : 999,867 = 999,867 : x
  2. Step 2: Convert to fraction form
    460,596/999,867 = 999,867/x
  3. Step 3: Cross multiply
    460,596x = 999,867 × 999,867
  4. Step 4: Simplify right side
    460,596x = 999,734,017,689
  5. Step 5: Solve for x
    x = 999,734,017,689/460,596
  6. Step 6: Final answer
    x = 2,170,522.58

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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.