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Finding the Third Proportional to 691,254.50 and 1,503,684

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Solution

The third proportional to 691,254.50 and 1,503,684 is: 3,270,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,254.50 : 1,503,684 = 1,503,684 : x
  2. Step 2: Convert to fraction form
    691,254.50/1,503,684 = 1,503,684/x
  3. Step 3: Cross multiply
    691,254.50x = 1,503,684 × 1,503,684
  4. Step 4: Simplify right side
    691,254.50x = 2,261,065,571,856
  5. Step 5: Solve for x
    x = 2,261,065,571,856/691,254.50
  6. Step 6: Final answer
    x = 3,270,959.64

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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.