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Finding the Third Proportional to 4,874,146 and 6,814,006

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Solution

The third proportional to 4,874,146 and 6,814,006 is: 9,525,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,146 : 6,814,006 = 6,814,006 : x
  2. Step 2: Convert to fraction form
    4,874,146/6,814,006 = 6,814,006/x
  3. Step 3: Cross multiply
    4,874,146x = 6,814,006 × 6,814,006
  4. Step 4: Simplify right side
    4,874,146x = 46,430,677,768,036
  5. Step 5: Solve for x
    x = 46,430,677,768,036/4,874,146
  6. Step 6: Final answer
    x = 9,525,910.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.