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Finding the Third Proportional to 1,907,747 and 4,042,942

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Solution

The third proportional to 1,907,747 and 4,042,942 is: 8,567,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,747 : 4,042,942 = 4,042,942 : x
  2. Step 2: Convert to fraction form
    1,907,747/4,042,942 = 4,042,942/x
  3. Step 3: Cross multiply
    1,907,747x = 4,042,942 × 4,042,942
  4. Step 4: Simplify right side
    1,907,747x = 16,345,380,015,364
  5. Step 5: Solve for x
    x = 16,345,380,015,364/1,907,747
  6. Step 6: Final answer
    x = 8,567,897.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.