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Finding the Third Proportional to 2,085,390 and 4,872,114

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Solution

The third proportional to 2,085,390 and 4,872,114 is: 11,382,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,390 : 4,872,114 = 4,872,114 : x
  2. Step 2: Convert to fraction form
    2,085,390/4,872,114 = 4,872,114/x
  3. Step 3: Cross multiply
    2,085,390x = 4,872,114 × 4,872,114
  4. Step 4: Simplify right side
    2,085,390x = 23,737,494,828,996
  5. Step 5: Solve for x
    x = 23,737,494,828,996/2,085,390
  6. Step 6: Final answer
    x = 11,382,760.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.