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Finding the Third Proportional to 673,838 and 1,472,029

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Solution

The third proportional to 673,838 and 1,472,029 is: 3,215,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,838 : 1,472,029 = 1,472,029 : x
  2. Step 2: Convert to fraction form
    673,838/1,472,029 = 1,472,029/x
  3. Step 3: Cross multiply
    673,838x = 1,472,029 × 1,472,029
  4. Step 4: Simplify right side
    673,838x = 2,166,869,376,841
  5. Step 5: Solve for x
    x = 2,166,869,376,841/673,838
  6. Step 6: Final answer
    x = 3,215,712.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.