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Finding the Third Proportional to 4,874,140 and 6,813,997

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Solution

The third proportional to 4,874,140 and 6,813,997 is: 9,525,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,140 : 6,813,997 = 6,813,997 : x
  2. Step 2: Convert to fraction form
    4,874,140/6,813,997 = 6,813,997/x
  3. Step 3: Cross multiply
    4,874,140x = 6,813,997 × 6,813,997
  4. Step 4: Simplify right side
    4,874,140x = 46,430,555,116,009
  5. Step 5: Solve for x
    x = 46,430,555,116,009/4,874,140
  6. Step 6: Final answer
    x = 9,525,896.90

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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.