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Finding the Third Proportional to 832,066 and 1,788,608

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Solution

The third proportional to 832,066 and 1,788,608 is: 3,844,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,066 : 1,788,608 = 1,788,608 : x
  2. Step 2: Convert to fraction form
    832,066/1,788,608 = 1,788,608/x
  3. Step 3: Cross multiply
    832,066x = 1,788,608 × 1,788,608
  4. Step 4: Simplify right side
    832,066x = 3,199,118,577,664
  5. Step 5: Solve for x
    x = 3,199,118,577,664/832,066
  6. Step 6: Final answer
    x = 3,844,789.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.