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Finding the Third Proportional to 617,796 and 1,353,684

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Solution

The third proportional to 617,796 and 1,353,684 is: 2,966,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,796 : 1,353,684 = 1,353,684 : x
  2. Step 2: Convert to fraction form
    617,796/1,353,684 = 1,353,684/x
  3. Step 3: Cross multiply
    617,796x = 1,353,684 × 1,353,684
  4. Step 4: Simplify right side
    617,796x = 1,832,460,371,856
  5. Step 5: Solve for x
    x = 1,832,460,371,856/617,796
  6. Step 6: Final answer
    x = 2,966,125.34

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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.