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Finding the Third Proportional to 410,080.22 and 883,024.03

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Solution

The third proportional to 410,080.22 and 883,024.03 is: 1,901,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080.22 : 883,024.03 = 883,024.03 : x
  2. Step 2: Convert to fraction form
    410,080.22/883,024.03 = 883,024.03/x
  3. Step 3: Cross multiply
    410,080.22x = 883,024.03 × 883,024.03
  4. Step 4: Simplify right side
    410,080.22x = 779,731,439,765.00
  5. Step 5: Solve for x
    x = 779,731,439,765.00/410,080.22
  6. Step 6: Final answer
    x = 1,901,411.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.