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Finding the Third Proportional to 1,631,768 and 2,293,828

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Solution

The third proportional to 1,631,768 and 2,293,828 is: 3,224,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,768 : 2,293,828 = 2,293,828 : x
  2. Step 2: Convert to fraction form
    1,631,768/2,293,828 = 2,293,828/x
  3. Step 3: Cross multiply
    1,631,768x = 2,293,828 × 2,293,828
  4. Step 4: Simplify right side
    1,631,768x = 5,261,646,893,584
  5. Step 5: Solve for x
    x = 5,261,646,893,584/1,631,768
  6. Step 6: Final answer
    x = 3,224,506.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.