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Finding the Third Proportional to 714,573 and 1,015,713

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Solution

The third proportional to 714,573 and 1,015,713 is: 1,443,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,573 : 1,015,713 = 1,015,713 : x
  2. Step 2: Convert to fraction form
    714,573/1,015,713 = 1,015,713/x
  3. Step 3: Cross multiply
    714,573x = 1,015,713 × 1,015,713
  4. Step 4: Simplify right side
    714,573x = 1,031,672,898,369
  5. Step 5: Solve for x
    x = 1,031,672,898,369/714,573
  6. Step 6: Final answer
    x = 1,443,761.38

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.