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Finding the Third Proportional to 818,944 and 1,772,032

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Solution

The third proportional to 818,944 and 1,772,032 is: 3,834,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,944 : 1,772,032 = 1,772,032 : x
  2. Step 2: Convert to fraction form
    818,944/1,772,032 = 1,772,032/x
  3. Step 3: Cross multiply
    818,944x = 1,772,032 × 1,772,032
  4. Step 4: Simplify right side
    818,944x = 3,140,097,409,024
  5. Step 5: Solve for x
    x = 3,140,097,409,024/818,944
  6. Step 6: Final answer
    x = 3,834,324.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.