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Finding the Third Proportional to 646,796 and 1,360,615

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Solution

The third proportional to 646,796 and 1,360,615 is: 2,862,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,796 : 1,360,615 = 1,360,615 : x
  2. Step 2: Convert to fraction form
    646,796/1,360,615 = 1,360,615/x
  3. Step 3: Cross multiply
    646,796x = 1,360,615 × 1,360,615
  4. Step 4: Simplify right side
    646,796x = 1,851,273,178,225
  5. Step 5: Solve for x
    x = 1,851,273,178,225/646,796
  6. Step 6: Final answer
    x = 2,862,221.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.