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Finding the Third Proportional to 830,236 and 1,826,360

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Solution

The third proportional to 830,236 and 1,826,360 is: 4,017,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,236 : 1,826,360 = 1,826,360 : x
  2. Step 2: Convert to fraction form
    830,236/1,826,360 = 1,826,360/x
  3. Step 3: Cross multiply
    830,236x = 1,826,360 × 1,826,360
  4. Step 4: Simplify right side
    830,236x = 3,335,590,849,600
  5. Step 5: Solve for x
    x = 3,335,590,849,600/830,236
  6. Step 6: Final answer
    x = 4,017,641.79

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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.