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Finding the Third Proportional to 1,680,207 and 2,551,476

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Solution

The third proportional to 1,680,207 and 2,551,476 is: 3,874,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,207 : 2,551,476 = 2,551,476 : x
  2. Step 2: Convert to fraction form
    1,680,207/2,551,476 = 2,551,476/x
  3. Step 3: Cross multiply
    1,680,207x = 2,551,476 × 2,551,476
  4. Step 4: Simplify right side
    1,680,207x = 6,510,029,778,576
  5. Step 5: Solve for x
    x = 6,510,029,778,576/1,680,207
  6. Step 6: Final answer
    x = 3,874,540.33

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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.