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Finding the Third Proportional to 794,007 and 1,730,763

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Solution

The third proportional to 794,007 and 1,730,763 is: 3,772,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,007 : 1,730,763 = 1,730,763 : x
  2. Step 2: Convert to fraction form
    794,007/1,730,763 = 1,730,763/x
  3. Step 3: Cross multiply
    794,007x = 1,730,763 × 1,730,763
  4. Step 4: Simplify right side
    794,007x = 2,995,540,562,169
  5. Step 5: Solve for x
    x = 2,995,540,562,169/794,007
  6. Step 6: Final answer
    x = 3,772,687.85

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Why These Related Problems?

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