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Finding the Third Proportional to 851,638 and 1,335,969

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Solution

The third proportional to 851,638 and 1,335,969 is: 2,095,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,638 : 1,335,969 = 1,335,969 : x
  2. Step 2: Convert to fraction form
    851,638/1,335,969 = 1,335,969/x
  3. Step 3: Cross multiply
    851,638x = 1,335,969 × 1,335,969
  4. Step 4: Simplify right side
    851,638x = 1,784,813,168,961
  5. Step 5: Solve for x
    x = 1,784,813,168,961/851,638
  6. Step 6: Final answer
    x = 2,095,741.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.