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Finding the Third Proportional to 1,990,207 and 2,982,180.50

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Solution

The third proportional to 1,990,207 and 2,982,180.50 is: 4,468,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,207 : 2,982,180.50 = 2,982,180.50 : x
  2. Step 2: Convert to fraction form
    1,990,207/2,982,180.50 = 2,982,180.50/x
  3. Step 3: Cross multiply
    1,990,207x = 2,982,180.50 × 2,982,180.50
  4. Step 4: Simplify right side
    1,990,207x = 8,893,400,534,580.25
  5. Step 5: Solve for x
    x = 8,893,400,534,580.25/1,990,207
  6. Step 6: Final answer
    x = 4,468,580.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.