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Finding the Third Proportional to 1,929,315 and 4,190,766

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Solution

The third proportional to 1,929,315 and 4,190,766 is: 9,102,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,315 : 4,190,766 = 4,190,766 : x
  2. Step 2: Convert to fraction form
    1,929,315/4,190,766 = 4,190,766/x
  3. Step 3: Cross multiply
    1,929,315x = 4,190,766 × 4,190,766
  4. Step 4: Simplify right side
    1,929,315x = 17,562,519,666,756
  5. Step 5: Solve for x
    x = 17,562,519,666,756/1,929,315
  6. Step 6: Final answer
    x = 9,102,981.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.