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Finding the Third Proportional to 830,738 and 1,290,171

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Solution

The third proportional to 830,738 and 1,290,171 is: 2,003,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,738 : 1,290,171 = 1,290,171 : x
  2. Step 2: Convert to fraction form
    830,738/1,290,171 = 1,290,171/x
  3. Step 3: Cross multiply
    830,738x = 1,290,171 × 1,290,171
  4. Step 4: Simplify right side
    830,738x = 1,664,541,209,241
  5. Step 5: Solve for x
    x = 1,664,541,209,241/830,738
  6. Step 6: Final answer
    x = 2,003,689.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.