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Finding the Third Proportional to 682,985.25 and 1,486,454.63

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Solution

The third proportional to 682,985.25 and 1,486,454.63 is: 3,235,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,985.25 : 1,486,454.63 = 1,486,454.63 : x
  2. Step 2: Convert to fraction form
    682,985.25/1,486,454.63 = 1,486,454.63/x
  3. Step 3: Cross multiply
    682,985.25x = 1,486,454.63 × 1,486,454.63
  4. Step 4: Simplify right side
    682,985.25x = 2,209,547,352,183.89
  5. Step 5: Solve for x
    x = 2,209,547,352,183.89/682,985.25
  6. Step 6: Final answer
    x = 3,235,131.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.