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Finding the Third Proportional to 897,333 and 1,920,777

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Solution

The third proportional to 897,333 and 1,920,777 is: 4,111,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,333 : 1,920,777 = 1,920,777 : x
  2. Step 2: Convert to fraction form
    897,333/1,920,777 = 1,920,777/x
  3. Step 3: Cross multiply
    897,333x = 1,920,777 × 1,920,777
  4. Step 4: Simplify right side
    897,333x = 3,689,384,283,729
  5. Step 5: Solve for x
    x = 3,689,384,283,729/897,333
  6. Step 6: Final answer
    x = 4,111,499.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.