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Finding the Third Proportional to 835,658 and 1,273,071

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Solution

The third proportional to 835,658 and 1,273,071 is: 1,939,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,658 : 1,273,071 = 1,273,071 : x
  2. Step 2: Convert to fraction form
    835,658/1,273,071 = 1,273,071/x
  3. Step 3: Cross multiply
    835,658x = 1,273,071 × 1,273,071
  4. Step 4: Simplify right side
    835,658x = 1,620,709,771,041
  5. Step 5: Solve for x
    x = 1,620,709,771,041/835,658
  6. Step 6: Final answer
    x = 1,939,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.