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Finding the Third Proportional to 714,291 and 1,080,652.50

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Solution

The third proportional to 714,291 and 1,080,652.50 is: 1,634,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,291 : 1,080,652.50 = 1,080,652.50 : x
  2. Step 2: Convert to fraction form
    714,291/1,080,652.50 = 1,080,652.50/x
  3. Step 3: Cross multiply
    714,291x = 1,080,652.50 × 1,080,652.50
  4. Step 4: Simplify right side
    714,291x = 1,167,809,825,756.25
  5. Step 5: Solve for x
    x = 1,167,809,825,756.25/714,291
  6. Step 6: Final answer
    x = 1,634,921.66

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