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Finding the Third Proportional to 480,859.88 and 1,026,077.63

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Solution

The third proportional to 480,859.88 and 1,026,077.63 is: 2,189,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,859.88 : 1,026,077.63 = 1,026,077.63 : x
  2. Step 2: Convert to fraction form
    480,859.88/1,026,077.63 = 1,026,077.63/x
  3. Step 3: Cross multiply
    480,859.88x = 1,026,077.63 × 1,026,077.63
  4. Step 4: Simplify right side
    480,859.88x = 1,052,835,292,525.64
  5. Step 5: Solve for x
    x = 1,052,835,292,525.64/480,859.88
  6. Step 6: Final answer
    x = 2,189,484.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.