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Finding the Third Proportional to 460,029.38 and 943,007.06

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Solution

The third proportional to 460,029.38 and 943,007.06 is: 1,933,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,029.38 : 943,007.06 = 943,007.06 : x
  2. Step 2: Convert to fraction form
    460,029.38/943,007.06 = 943,007.06/x
  3. Step 3: Cross multiply
    460,029.38x = 943,007.06 × 943,007.06
  4. Step 4: Simplify right side
    460,029.38x = 889,262,319,924.88
  5. Step 5: Solve for x
    x = 889,262,319,924.88/460,029.38
  6. Step 6: Final answer
    x = 1,933,055.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.