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Finding the Third Proportional to 728,455 and 1,584,506

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Solution

The third proportional to 728,455 and 1,584,506 is: 3,446,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,455 : 1,584,506 = 1,584,506 : x
  2. Step 2: Convert to fraction form
    728,455/1,584,506 = 1,584,506/x
  3. Step 3: Cross multiply
    728,455x = 1,584,506 × 1,584,506
  4. Step 4: Simplify right side
    728,455x = 2,510,659,264,036
  5. Step 5: Solve for x
    x = 2,510,659,264,036/728,455
  6. Step 6: Final answer
    x = 3,446,553.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.