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Finding the Third Proportional to 1,698,408 and 2,650,968

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Solution

The third proportional to 1,698,408 and 2,650,968 is: 4,137,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,408 : 2,650,968 = 2,650,968 : x
  2. Step 2: Convert to fraction form
    1,698,408/2,650,968 = 2,650,968/x
  3. Step 3: Cross multiply
    1,698,408x = 2,650,968 × 2,650,968
  4. Step 4: Simplify right side
    1,698,408x = 7,027,631,337,024
  5. Step 5: Solve for x
    x = 7,027,631,337,024/1,698,408
  6. Step 6: Final answer
    x = 4,137,775.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.