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Finding the Third Proportional to 486,786 and 1,045,532

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Solution

The third proportional to 486,786 and 1,045,532 is: 2,245,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,786 : 1,045,532 = 1,045,532 : x
  2. Step 2: Convert to fraction form
    486,786/1,045,532 = 1,045,532/x
  3. Step 3: Cross multiply
    486,786x = 1,045,532 × 1,045,532
  4. Step 4: Simplify right side
    486,786x = 1,093,137,163,024
  5. Step 5: Solve for x
    x = 1,093,137,163,024/486,786
  6. Step 6: Final answer
    x = 2,245,621.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.