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Finding the Third Proportional to 469,456 and 1,013,728

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Solution

The third proportional to 469,456 and 1,013,728 is: 2,189,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,456 : 1,013,728 = 1,013,728 : x
  2. Step 2: Convert to fraction form
    469,456/1,013,728 = 1,013,728/x
  3. Step 3: Cross multiply
    469,456x = 1,013,728 × 1,013,728
  4. Step 4: Simplify right side
    469,456x = 1,027,644,457,984
  5. Step 5: Solve for x
    x = 1,027,644,457,984/469,456
  6. Step 6: Final answer
    x = 2,189,011.23

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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.