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Finding the Third Proportional to 389,052 and 859,752

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Solution

The third proportional to 389,052 and 859,752 is: 1,899,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,052 : 859,752 = 859,752 : x
  2. Step 2: Convert to fraction form
    389,052/859,752 = 859,752/x
  3. Step 3: Cross multiply
    389,052x = 859,752 × 859,752
  4. Step 4: Simplify right side
    389,052x = 739,173,501,504
  5. Step 5: Solve for x
    x = 739,173,501,504/389,052
  6. Step 6: Final answer
    x = 1,899,934.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.