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Finding the Third Proportional to 975,978 and 2,070,049.50

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Solution

The third proportional to 975,978 and 2,070,049.50 is: 4,390,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,978 : 2,070,049.50 = 2,070,049.50 : x
  2. Step 2: Convert to fraction form
    975,978/2,070,049.50 = 2,070,049.50/x
  3. Step 3: Cross multiply
    975,978x = 2,070,049.50 × 2,070,049.50
  4. Step 4: Simplify right side
    975,978x = 4,285,104,932,450.25
  5. Step 5: Solve for x
    x = 4,285,104,932,450.25/975,978
  6. Step 6: Final answer
    x = 4,390,575.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.