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Finding the Third Proportional to 857,448 and 1,883,052

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Solution

The third proportional to 857,448 and 1,883,052 is: 4,135,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,448 : 1,883,052 = 1,883,052 : x
  2. Step 2: Convert to fraction form
    857,448/1,883,052 = 1,883,052/x
  3. Step 3: Cross multiply
    857,448x = 1,883,052 × 1,883,052
  4. Step 4: Simplify right side
    857,448x = 3,545,884,834,704
  5. Step 5: Solve for x
    x = 3,545,884,834,704/857,448
  6. Step 6: Final answer
    x = 4,135,393.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.