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Finding the Third Proportional to 742,146 and 1,111,279

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Solution

The third proportional to 742,146 and 1,111,279 is: 1,664,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,146 : 1,111,279 = 1,111,279 : x
  2. Step 2: Convert to fraction form
    742,146/1,111,279 = 1,111,279/x
  3. Step 3: Cross multiply
    742,146x = 1,111,279 × 1,111,279
  4. Step 4: Simplify right side
    742,146x = 1,234,941,015,841
  5. Step 5: Solve for x
    x = 1,234,941,015,841/742,146
  6. Step 6: Final answer
    x = 1,664,013.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.