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Finding the Third Proportional to 2,462,134 and 3,782,139

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Solution

The third proportional to 2,462,134 and 3,782,139 is: 5,809,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,134 : 3,782,139 = 3,782,139 : x
  2. Step 2: Convert to fraction form
    2,462,134/3,782,139 = 3,782,139/x
  3. Step 3: Cross multiply
    2,462,134x = 3,782,139 × 3,782,139
  4. Step 4: Simplify right side
    2,462,134x = 14,304,575,415,321
  5. Step 5: Solve for x
    x = 14,304,575,415,321/2,462,134
  6. Step 6: Final answer
    x = 5,809,828.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.