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Finding the Third Proportional to 1,782,729 and 3,842,658

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Solution

The third proportional to 1,782,729 and 3,842,658 is: 8,282,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,729 : 3,842,658 = 3,842,658 : x
  2. Step 2: Convert to fraction form
    1,782,729/3,842,658 = 3,842,658/x
  3. Step 3: Cross multiply
    1,782,729x = 3,842,658 × 3,842,658
  4. Step 4: Simplify right side
    1,782,729x = 14,766,020,504,964
  5. Step 5: Solve for x
    x = 14,766,020,504,964/1,782,729
  6. Step 6: Final answer
    x = 8,282,818.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.