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Finding the Third Proportional to 832,112 and 1,189,053

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Solution

The third proportional to 832,112 and 1,189,053 is: 1,699,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,112 : 1,189,053 = 1,189,053 : x
  2. Step 2: Convert to fraction form
    832,112/1,189,053 = 1,189,053/x
  3. Step 3: Cross multiply
    832,112x = 1,189,053 × 1,189,053
  4. Step 4: Simplify right side
    832,112x = 1,413,847,036,809
  5. Step 5: Solve for x
    x = 1,413,847,036,809/832,112
  6. Step 6: Final answer
    x = 1,699,106.65

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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.