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Finding the Third Proportional to 498,047 and 1,100,761

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Solution

The third proportional to 498,047 and 1,100,761 is: 2,432,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,047 : 1,100,761 = 1,100,761 : x
  2. Step 2: Convert to fraction form
    498,047/1,100,761 = 1,100,761/x
  3. Step 3: Cross multiply
    498,047x = 1,100,761 × 1,100,761
  4. Step 4: Simplify right side
    498,047x = 1,211,674,779,121
  5. Step 5: Solve for x
    x = 1,211,674,779,121/498,047
  6. Step 6: Final answer
    x = 2,432,852.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.