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Finding the Third Proportional to 830,300.63 and 1,798,314.75

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Solution

The third proportional to 830,300.63 and 1,798,314.75 is: 3,894,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,300.63 : 1,798,314.75 = 1,798,314.75 : x
  2. Step 2: Convert to fraction form
    830,300.63/1,798,314.75 = 1,798,314.75/x
  3. Step 3: Cross multiply
    830,300.63x = 1,798,314.75 × 1,798,314.75
  4. Step 4: Simplify right side
    830,300.63x = 3,233,935,940,067.56
  5. Step 5: Solve for x
    x = 3,233,935,940,067.56/830,300.63
  6. Step 6: Final answer
    x = 3,894,897.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.