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Finding the Third Proportional to 830,238 and 1,826,364

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Solution

The third proportional to 830,238 and 1,826,364 is: 4,017,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,238 : 1,826,364 = 1,826,364 : x
  2. Step 2: Convert to fraction form
    830,238/1,826,364 = 1,826,364/x
  3. Step 3: Cross multiply
    830,238x = 1,826,364 × 1,826,364
  4. Step 4: Simplify right side
    830,238x = 3,335,605,460,496
  5. Step 5: Solve for x
    x = 3,335,605,460,496/830,238
  6. Step 6: Final answer
    x = 4,017,649.71

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