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Finding the Third Proportional to 646,674 and 1,360,339.50

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Solution

The third proportional to 646,674 and 1,360,339.50 is: 2,861,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,674 : 1,360,339.50 = 1,360,339.50 : x
  2. Step 2: Convert to fraction form
    646,674/1,360,339.50 = 1,360,339.50/x
  3. Step 3: Cross multiply
    646,674x = 1,360,339.50 × 1,360,339.50
  4. Step 4: Simplify right side
    646,674x = 1,850,523,555,260.25
  5. Step 5: Solve for x
    x = 1,850,523,555,260.25/646,674
  6. Step 6: Final answer
    x = 2,861,601.91

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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.