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Finding the Third Proportional to 857,189.25 and 1,883,597.63

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Solution

The third proportional to 857,189.25 and 1,883,597.63 is: 4,139,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,189.25 : 1,883,597.63 = 1,883,597.63 : x
  2. Step 2: Convert to fraction form
    857,189.25/1,883,597.63 = 1,883,597.63/x
  3. Step 3: Cross multiply
    857,189.25x = 1,883,597.63 × 1,883,597.63
  4. Step 4: Simplify right side
    857,189.25x = 3,547,940,012,905.64
  5. Step 5: Solve for x
    x = 3,547,940,012,905.64/857,189.25
  6. Step 6: Final answer
    x = 4,139,039.32

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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.