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Finding the Third Proportional to 714,461.25 and 1,541,094

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Solution

The third proportional to 714,461.25 and 1,541,094 is: 3,324,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,461.25 : 1,541,094 = 1,541,094 : x
  2. Step 2: Convert to fraction form
    714,461.25/1,541,094 = 1,541,094/x
  3. Step 3: Cross multiply
    714,461.25x = 1,541,094 × 1,541,094
  4. Step 4: Simplify right side
    714,461.25x = 2,374,970,716,836
  5. Step 5: Solve for x
    x = 2,374,970,716,836/714,461.25
  6. Step 6: Final answer
    x = 3,324,142.10

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Why These Related Problems?

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