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Finding the Third Proportional to 742,989 and 1,147,968

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Solution

The third proportional to 742,989 and 1,147,968 is: 1,773,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,989 : 1,147,968 = 1,147,968 : x
  2. Step 2: Convert to fraction form
    742,989/1,147,968 = 1,147,968/x
  3. Step 3: Cross multiply
    742,989x = 1,147,968 × 1,147,968
  4. Step 4: Simplify right side
    742,989x = 1,317,830,529,024
  5. Step 5: Solve for x
    x = 1,317,830,529,024/742,989
  6. Step 6: Final answer
    x = 1,773,687.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.