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Finding the Third Proportional to 617,212 and 1,346,456

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Solution

The third proportional to 617,212 and 1,346,456 is: 2,937,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,212 : 1,346,456 = 1,346,456 : x
  2. Step 2: Convert to fraction form
    617,212/1,346,456 = 1,346,456/x
  3. Step 3: Cross multiply
    617,212x = 1,346,456 × 1,346,456
  4. Step 4: Simplify right side
    617,212x = 1,812,943,759,936
  5. Step 5: Solve for x
    x = 1,812,943,759,936/617,212
  6. Step 6: Final answer
    x = 2,937,311.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.