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Finding the Third Proportional to 490,382 and 1,034,008

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Solution

The third proportional to 490,382 and 1,034,008 is: 2,180,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,382 : 1,034,008 = 1,034,008 : x
  2. Step 2: Convert to fraction form
    490,382/1,034,008 = 1,034,008/x
  3. Step 3: Cross multiply
    490,382x = 1,034,008 × 1,034,008
  4. Step 4: Simplify right side
    490,382x = 1,069,172,544,064
  5. Step 5: Solve for x
    x = 1,069,172,544,064/490,382
  6. Step 6: Final answer
    x = 2,180,285.05

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.