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Finding the Third Proportional to 830,758 and 1,815,278

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Solution

The third proportional to 830,758 and 1,815,278 is: 3,966,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,758 : 1,815,278 = 1,815,278 : x
  2. Step 2: Convert to fraction form
    830,758/1,815,278 = 1,815,278/x
  3. Step 3: Cross multiply
    830,758x = 1,815,278 × 1,815,278
  4. Step 4: Simplify right side
    830,758x = 3,295,234,217,284
  5. Step 5: Solve for x
    x = 3,295,234,217,284/830,758
  6. Step 6: Final answer
    x = 3,966,539.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.