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Finding the Third Proportional to 832,110 and 1,189,050

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Solution

The third proportional to 832,110 and 1,189,050 is: 1,699,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,110 : 1,189,050 = 1,189,050 : x
  2. Step 2: Convert to fraction form
    832,110/1,189,050 = 1,189,050/x
  3. Step 3: Cross multiply
    832,110x = 1,189,050 × 1,189,050
  4. Step 4: Simplify right side
    832,110x = 1,413,839,902,500
  5. Step 5: Solve for x
    x = 1,413,839,902,500/832,110
  6. Step 6: Final answer
    x = 1,699,102.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.