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Finding the Third Proportional to 834,751 and 1,247,212

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Solution

The third proportional to 834,751 and 1,247,212 is: 1,863,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,751 : 1,247,212 = 1,247,212 : x
  2. Step 2: Convert to fraction form
    834,751/1,247,212 = 1,247,212/x
  3. Step 3: Cross multiply
    834,751x = 1,247,212 × 1,247,212
  4. Step 4: Simplify right side
    834,751x = 1,555,537,772,944
  5. Step 5: Solve for x
    x = 1,555,537,772,944/834,751
  6. Step 6: Final answer
    x = 1,863,475.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.