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Finding the Third Proportional to 840,132 and 1,275,732

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Solution

The third proportional to 840,132 and 1,275,732 is: 1,937,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,132 : 1,275,732 = 1,275,732 : x
  2. Step 2: Convert to fraction form
    840,132/1,275,732 = 1,275,732/x
  3. Step 3: Cross multiply
    840,132x = 1,275,732 × 1,275,732
  4. Step 4: Simplify right side
    840,132x = 1,627,492,135,824
  5. Step 5: Solve for x
    x = 1,627,492,135,824/840,132
  6. Step 6: Final answer
    x = 1,937,186.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.