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Finding the Third Proportional to 393,226 and 860,045

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Solution

The third proportional to 393,226 and 860,045 is: 1,881,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,226 : 860,045 = 860,045 : x
  2. Step 2: Convert to fraction form
    393,226/860,045 = 860,045/x
  3. Step 3: Cross multiply
    393,226x = 860,045 × 860,045
  4. Step 4: Simplify right side
    393,226x = 739,677,402,025
  5. Step 5: Solve for x
    x = 739,677,402,025/393,226
  6. Step 6: Final answer
    x = 1,881,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.