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Finding the Third Proportional to 493,364 and 1,078,996

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Solution

The third proportional to 493,364 and 1,078,996 is: 2,359,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,364 : 1,078,996 = 1,078,996 : x
  2. Step 2: Convert to fraction form
    493,364/1,078,996 = 1,078,996/x
  3. Step 3: Cross multiply
    493,364x = 1,078,996 × 1,078,996
  4. Step 4: Simplify right side
    493,364x = 1,164,232,368,016
  5. Step 5: Solve for x
    x = 1,164,232,368,016/493,364
  6. Step 6: Final answer
    x = 2,359,783.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.