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Finding the Third Proportional to 1,680,201 and 2,551,466.25

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Solution

The third proportional to 1,680,201 and 2,551,466.25 is: 3,874,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,201 : 2,551,466.25 = 2,551,466.25 : x
  2. Step 2: Convert to fraction form
    1,680,201/2,551,466.25 = 2,551,466.25/x
  3. Step 3: Cross multiply
    1,680,201x = 2,551,466.25 × 2,551,466.25
  4. Step 4: Simplify right side
    1,680,201x = 6,509,980,024,889.06
  5. Step 5: Solve for x
    x = 6,509,980,024,889.06/1,680,201
  6. Step 6: Final answer
    x = 3,874,524.55

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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.