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Finding the Third Proportional to 1,617,062 and 3,281,641

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Solution

The third proportional to 1,617,062 and 3,281,641 is: 6,659,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,062 : 3,281,641 = 3,281,641 : x
  2. Step 2: Convert to fraction form
    1,617,062/3,281,641 = 3,281,641/x
  3. Step 3: Cross multiply
    1,617,062x = 3,281,641 × 3,281,641
  4. Step 4: Simplify right side
    1,617,062x = 10,769,167,652,881
  5. Step 5: Solve for x
    x = 10,769,167,652,881/1,617,062
  6. Step 6: Final answer
    x = 6,659,712.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.