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Finding the Third Proportional to 832,008 and 1,188,948

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Solution

The third proportional to 832,008 and 1,188,948 is: 1,699,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,008 : 1,188,948 = 1,188,948 : x
  2. Step 2: Convert to fraction form
    832,008/1,188,948 = 1,188,948/x
  3. Step 3: Cross multiply
    832,008x = 1,188,948 × 1,188,948
  4. Step 4: Simplify right side
    832,008x = 1,413,597,346,704
  5. Step 5: Solve for x
    x = 1,413,597,346,704/832,008
  6. Step 6: Final answer
    x = 1,699,018.94

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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.