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Finding the Third Proportional to 1,648,215 and 3,422,763

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Solution

The third proportional to 1,648,215 and 3,422,763 is: 7,107,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,215 : 3,422,763 = 3,422,763 : x
  2. Step 2: Convert to fraction form
    1,648,215/3,422,763 = 3,422,763/x
  3. Step 3: Cross multiply
    1,648,215x = 3,422,763 × 3,422,763
  4. Step 4: Simplify right side
    1,648,215x = 11,715,306,554,169
  5. Step 5: Solve for x
    x = 11,715,306,554,169/1,648,215
  6. Step 6: Final answer
    x = 7,107,875.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.