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Finding the Third Proportional to 714,085 and 1,043,761

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Solution

The third proportional to 714,085 and 1,043,761 is: 1,525,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,085 : 1,043,761 = 1,043,761 : x
  2. Step 2: Convert to fraction form
    714,085/1,043,761 = 1,043,761/x
  3. Step 3: Cross multiply
    714,085x = 1,043,761 × 1,043,761
  4. Step 4: Simplify right side
    714,085x = 1,089,437,025,121
  5. Step 5: Solve for x
    x = 1,089,437,025,121/714,085
  6. Step 6: Final answer
    x = 1,525,640.54

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Why These Related Problems?

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