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Finding the Third Proportional to 714,080 and 1,043,754

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Solution

The third proportional to 714,080 and 1,043,754 is: 1,525,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,080 : 1,043,754 = 1,043,754 : x
  2. Step 2: Convert to fraction form
    714,080/1,043,754 = 1,043,754/x
  3. Step 3: Cross multiply
    714,080x = 1,043,754 × 1,043,754
  4. Step 4: Simplify right side
    714,080x = 1,089,422,412,516
  5. Step 5: Solve for x
    x = 1,089,422,412,516/714,080
  6. Step 6: Final answer
    x = 1,525,630.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.