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Finding the Third Proportional to 830,743 and 1,244,732

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Solution

The third proportional to 830,743 and 1,244,732 is: 1,865,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,743 : 1,244,732 = 1,244,732 : x
  2. Step 2: Convert to fraction form
    830,743/1,244,732 = 1,244,732/x
  3. Step 3: Cross multiply
    830,743x = 1,244,732 × 1,244,732
  4. Step 4: Simplify right side
    830,743x = 1,549,357,751,824
  5. Step 5: Solve for x
    x = 1,549,357,751,824/830,743
  6. Step 6: Final answer
    x = 1,865,026.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.