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Finding the Third Proportional to 461,124 and 1,009,728

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Solution

The third proportional to 461,124 and 1,009,728 is: 2,211,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,124 : 1,009,728 = 1,009,728 : x
  2. Step 2: Convert to fraction form
    461,124/1,009,728 = 1,009,728/x
  3. Step 3: Cross multiply
    461,124x = 1,009,728 × 1,009,728
  4. Step 4: Simplify right side
    461,124x = 1,019,550,633,984
  5. Step 5: Solve for x
    x = 1,019,550,633,984/461,124
  6. Step 6: Final answer
    x = 2,211,011.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.