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Finding the Third Proportional to 3,852,978 and 6,000,083

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Solution

The third proportional to 3,852,978 and 6,000,083 is: 9,343,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852,978 : 6,000,083 = 6,000,083 : x
  2. Step 2: Convert to fraction form
    3,852,978/6,000,083 = 6,000,083/x
  3. Step 3: Cross multiply
    3,852,978x = 6,000,083 × 6,000,083
  4. Step 4: Simplify right side
    3,852,978x = 36,000,996,006,889
  5. Step 5: Solve for x
    x = 36,000,996,006,889/3,852,978
  6. Step 6: Final answer
    x = 9,343,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.