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Finding the Third Proportional to 1,919,511 and 4,443,763.50

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Solution

The third proportional to 1,919,511 and 4,443,763.50 is: 10,287,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,511 : 4,443,763.50 = 4,443,763.50 : x
  2. Step 2: Convert to fraction form
    1,919,511/4,443,763.50 = 4,443,763.50/x
  3. Step 3: Cross multiply
    1,919,511x = 4,443,763.50 × 4,443,763.50
  4. Step 4: Simplify right side
    1,919,511x = 19,747,034,043,932.25
  5. Step 5: Solve for x
    x = 19,747,034,043,932.25/1,919,511
  6. Step 6: Final answer
    x = 10,287,533.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.