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Finding the Third Proportional to 617,772 and 1,353,642

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Solution

The third proportional to 617,772 and 1,353,642 is: 2,966,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,772 : 1,353,642 = 1,353,642 : x
  2. Step 2: Convert to fraction form
    617,772/1,353,642 = 1,353,642/x
  3. Step 3: Cross multiply
    617,772x = 1,353,642 × 1,353,642
  4. Step 4: Simplify right side
    617,772x = 1,832,346,664,164
  5. Step 5: Solve for x
    x = 1,832,346,664,164/617,772
  6. Step 6: Final answer
    x = 2,966,056.51

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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.