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Finding the Third Proportional to 1,882,460.25 and 2,827,983.38

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Solution

The third proportional to 1,882,460.25 and 2,827,983.38 is: 4,248,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,460.25 : 2,827,983.38 = 2,827,983.38 : x
  2. Step 2: Convert to fraction form
    1,882,460.25/2,827,983.38 = 2,827,983.38/x
  3. Step 3: Cross multiply
    1,882,460.25x = 2,827,983.38 × 2,827,983.38
  4. Step 4: Simplify right side
    1,882,460.25x = 7,997,489,969,276.39
  5. Step 5: Solve for x
    x = 7,997,489,969,276.39/1,882,460.25
  6. Step 6: Final answer
    x = 4,248,424.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.