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Finding the Third Proportional to 490,944 and 1,078,368

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Solution

The third proportional to 490,944 and 1,078,368 is: 2,368,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,944 : 1,078,368 = 1,078,368 : x
  2. Step 2: Convert to fraction form
    490,944/1,078,368 = 1,078,368/x
  3. Step 3: Cross multiply
    490,944x = 1,078,368 × 1,078,368
  4. Step 4: Simplify right side
    490,944x = 1,162,877,543,424
  5. Step 5: Solve for x
    x = 1,162,877,543,424/490,944
  6. Step 6: Final answer
    x = 2,368,656.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.