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Finding the Third Proportional to 714,447.84 and 1,541,070.56

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Solution

The third proportional to 714,447.84 and 1,541,070.56 is: 3,324,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,447.84 : 1,541,070.56 = 1,541,070.56 : x
  2. Step 2: Convert to fraction form
    714,447.84/1,541,070.56 = 1,541,070.56/x
  3. Step 3: Cross multiply
    714,447.84x = 1,541,070.56 × 1,541,070.56
  4. Step 4: Simplify right side
    714,447.84x = 2,374,898,478,604.07
  5. Step 5: Solve for x
    x = 2,374,898,478,604.07/714,447.84
  6. Step 6: Final answer
    x = 3,324,103.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.