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Finding the Third Proportional to 617,848 and 1,353,778

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Solution

The third proportional to 617,848 and 1,353,778 is: 2,966,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,848 : 1,353,778 = 1,353,778 : x
  2. Step 2: Convert to fraction form
    617,848/1,353,778 = 1,353,778/x
  3. Step 3: Cross multiply
    617,848x = 1,353,778 × 1,353,778
  4. Step 4: Simplify right side
    617,848x = 1,832,714,873,284
  5. Step 5: Solve for x
    x = 1,832,714,873,284/617,848
  6. Step 6: Final answer
    x = 2,966,287.62

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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.