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Finding the Third Proportional to 1,923,000 and 4,103,391

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Solution

The third proportional to 1,923,000 and 4,103,391 is: 8,756,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,000 : 4,103,391 = 4,103,391 : x
  2. Step 2: Convert to fraction form
    1,923,000/4,103,391 = 4,103,391/x
  3. Step 3: Cross multiply
    1,923,000x = 4,103,391 × 4,103,391
  4. Step 4: Simplify right side
    1,923,000x = 16,837,817,698,881
  5. Step 5: Solve for x
    x = 16,837,817,698,881/1,923,000
  6. Step 6: Final answer
    x = 8,756,015.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.