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Finding the Third Proportional to 830,744 and 1,290,180

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Solution

The third proportional to 830,744 and 1,290,180 is: 2,003,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,744 : 1,290,180 = 1,290,180 : x
  2. Step 2: Convert to fraction form
    830,744/1,290,180 = 1,290,180/x
  3. Step 3: Cross multiply
    830,744x = 1,290,180 × 1,290,180
  4. Step 4: Simplify right side
    830,744x = 1,664,564,432,400
  5. Step 5: Solve for x
    x = 1,664,564,432,400/830,744
  6. Step 6: Final answer
    x = 2,003,703.23

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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.