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Finding the Third Proportional to 1,584,638 and 3,415,678

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Solution

The third proportional to 1,584,638 and 3,415,678 is: 7,362,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,638 : 3,415,678 = 3,415,678 : x
  2. Step 2: Convert to fraction form
    1,584,638/3,415,678 = 3,415,678/x
  3. Step 3: Cross multiply
    1,584,638x = 3,415,678 × 3,415,678
  4. Step 4: Simplify right side
    1,584,638x = 11,666,856,199,684
  5. Step 5: Solve for x
    x = 11,666,856,199,684/1,584,638
  6. Step 6: Final answer
    x = 7,362,474.08

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