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Finding the Third Proportional to 730,462 and 1,601,029

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Solution

The third proportional to 730,462 and 1,601,029 is: 3,509,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,462 : 1,601,029 = 1,601,029 : x
  2. Step 2: Convert to fraction form
    730,462/1,601,029 = 1,601,029/x
  3. Step 3: Cross multiply
    730,462x = 1,601,029 × 1,601,029
  4. Step 4: Simplify right side
    730,462x = 2,563,293,858,841
  5. Step 5: Solve for x
    x = 2,563,293,858,841/730,462
  6. Step 6: Final answer
    x = 3,509,140.60

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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.