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Finding the Third Proportional to 1,736,968 and 3,827,317

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Solution

The third proportional to 1,736,968 and 3,827,317 is: 8,433,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,968 : 3,827,317 = 3,827,317 : x
  2. Step 2: Convert to fraction form
    1,736,968/3,827,317 = 3,827,317/x
  3. Step 3: Cross multiply
    1,736,968x = 3,827,317 × 3,827,317
  4. Step 4: Simplify right side
    1,736,968x = 14,648,355,418,489
  5. Step 5: Solve for x
    x = 14,648,355,418,489/1,736,968
  6. Step 6: Final answer
    x = 8,433,290.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.