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Finding the Third Proportional to 920,032 and 1,980,032

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Solution

The third proportional to 920,032 and 1,980,032 is: 4,261,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,032 : 1,980,032 = 1,980,032 : x
  2. Step 2: Convert to fraction form
    920,032/1,980,032 = 1,980,032/x
  3. Step 3: Cross multiply
    920,032x = 1,980,032 × 1,980,032
  4. Step 4: Simplify right side
    920,032x = 3,920,526,721,024
  5. Step 5: Solve for x
    x = 3,920,526,721,024/920,032
  6. Step 6: Final answer
    x = 4,261,293.87

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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.