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Finding the Third Proportional to 651,679 and 1,435,968

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Solution

The third proportional to 651,679 and 1,435,968 is: 3,164,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,679 : 1,435,968 = 1,435,968 : x
  2. Step 2: Convert to fraction form
    651,679/1,435,968 = 1,435,968/x
  3. Step 3: Cross multiply
    651,679x = 1,435,968 × 1,435,968
  4. Step 4: Simplify right side
    651,679x = 2,062,004,097,024
  5. Step 5: Solve for x
    x = 2,062,004,097,024/651,679
  6. Step 6: Final answer
    x = 3,164,140.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.