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Finding the Third Proportional to 714,242 and 1,080,579

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Solution

The third proportional to 714,242 and 1,080,579 is: 1,634,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,242 : 1,080,579 = 1,080,579 : x
  2. Step 2: Convert to fraction form
    714,242/1,080,579 = 1,080,579/x
  3. Step 3: Cross multiply
    714,242x = 1,080,579 × 1,080,579
  4. Step 4: Simplify right side
    714,242x = 1,167,650,975,241
  5. Step 5: Solve for x
    x = 1,167,650,975,241/714,242
  6. Step 6: Final answer
    x = 1,634,811.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.