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Finding the Third Proportional to 682,862 and 1,495,821

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Solution

The third proportional to 682,862 and 1,495,821 is: 3,276,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,862 : 1,495,821 = 1,495,821 : x
  2. Step 2: Convert to fraction form
    682,862/1,495,821 = 1,495,821/x
  3. Step 3: Cross multiply
    682,862x = 1,495,821 × 1,495,821
  4. Step 4: Simplify right side
    682,862x = 2,237,480,464,041
  5. Step 5: Solve for x
    x = 2,237,480,464,041/682,862
  6. Step 6: Final answer
    x = 3,276,621.72

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Why These Related Problems?

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