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Finding the Third Proportional to 617,967 and 1,302,363

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Solution

The third proportional to 617,967 and 1,302,363 is: 2,744,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,967 : 1,302,363 = 1,302,363 : x
  2. Step 2: Convert to fraction form
    617,967/1,302,363 = 1,302,363/x
  3. Step 3: Cross multiply
    617,967x = 1,302,363 × 1,302,363
  4. Step 4: Simplify right side
    617,967x = 1,696,149,383,769
  5. Step 5: Solve for x
    x = 1,696,149,383,769/617,967
  6. Step 6: Final answer
    x = 2,744,724.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.