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Finding the Third Proportional to 617,709 and 1,353,516

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Solution

The third proportional to 617,709 and 1,353,516 is: 2,965,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,709 : 1,353,516 = 1,353,516 : x
  2. Step 2: Convert to fraction form
    617,709/1,353,516 = 1,353,516/x
  3. Step 3: Cross multiply
    617,709x = 1,353,516 × 1,353,516
  4. Step 4: Simplify right side
    617,709x = 1,832,005,562,256
  5. Step 5: Solve for x
    x = 1,832,005,562,256/617,709
  6. Step 6: Final answer
    x = 2,965,806.82

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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.