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Finding the Third Proportional to 617,718 and 1,353,534

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Solution

The third proportional to 617,718 and 1,353,534 is: 2,965,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,718 : 1,353,534 = 1,353,534 : x
  2. Step 2: Convert to fraction form
    617,718/1,353,534 = 1,353,534/x
  3. Step 3: Cross multiply
    617,718x = 1,353,534 × 1,353,534
  4. Step 4: Simplify right side
    617,718x = 1,832,054,289,156
  5. Step 5: Solve for x
    x = 1,832,054,289,156/617,718
  6. Step 6: Final answer
    x = 2,965,842.49

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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.