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Finding the Third Proportional to 1,507,738 and 3,281,408

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Solution

The third proportional to 1,507,738 and 3,281,408 is: 7,141,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,738 : 3,281,408 = 3,281,408 : x
  2. Step 2: Convert to fraction form
    1,507,738/3,281,408 = 3,281,408/x
  3. Step 3: Cross multiply
    1,507,738x = 3,281,408 × 3,281,408
  4. Step 4: Simplify right side
    1,507,738x = 10,767,638,462,464
  5. Step 5: Solve for x
    x = 10,767,638,462,464/1,507,738
  6. Step 6: Final answer
    x = 7,141,584.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.