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Finding the Third Proportional to 617,742 and 1,353,582

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Solution

The third proportional to 617,742 and 1,353,582 is: 2,965,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,742 : 1,353,582 = 1,353,582 : x
  2. Step 2: Convert to fraction form
    617,742/1,353,582 = 1,353,582/x
  3. Step 3: Cross multiply
    617,742x = 1,353,582 × 1,353,582
  4. Step 4: Simplify right side
    617,742x = 1,832,184,230,724
  5. Step 5: Solve for x
    x = 1,832,184,230,724/617,742
  6. Step 6: Final answer
    x = 2,965,937.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.