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Finding the Third Proportional to 758,037 and 1,658,503

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Solution

The third proportional to 758,037 and 1,658,503 is: 3,628,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,037 : 1,658,503 = 1,658,503 : x
  2. Step 2: Convert to fraction form
    758,037/1,658,503 = 1,658,503/x
  3. Step 3: Cross multiply
    758,037x = 1,658,503 × 1,658,503
  4. Step 4: Simplify right side
    758,037x = 2,750,632,201,009
  5. Step 5: Solve for x
    x = 2,750,632,201,009/758,037
  6. Step 6: Final answer
    x = 3,628,625.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.