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Finding the Third Proportional to 1,897,467 and 4,097,895.75

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Solution

The third proportional to 1,897,467 and 4,097,895.75 is: 8,850,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,467 : 4,097,895.75 = 4,097,895.75 : x
  2. Step 2: Convert to fraction form
    1,897,467/4,097,895.75 = 4,097,895.75/x
  3. Step 3: Cross multiply
    1,897,467x = 4,097,895.75 × 4,097,895.75
  4. Step 4: Simplify right side
    1,897,467x = 16,792,749,577,868.06
  5. Step 5: Solve for x
    x = 16,792,749,577,868.06/1,897,467
  6. Step 6: Final answer
    x = 8,850,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.