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Finding the Third Proportional to 476,292.94 and 1,027,368.94

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Solution

The third proportional to 476,292.94 and 1,027,368.94 is: 2,216,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,292.94 : 1,027,368.94 = 1,027,368.94 : x
  2. Step 2: Convert to fraction form
    476,292.94/1,027,368.94 = 1,027,368.94/x
  3. Step 3: Cross multiply
    476,292.94x = 1,027,368.94 × 1,027,368.94
  4. Step 4: Simplify right side
    476,292.94x = 1,055,486,933,739.88
  5. Step 5: Solve for x
    x = 1,055,486,933,739.88/476,292.94
  6. Step 6: Final answer
    x = 2,216,045.74

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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.