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Finding the Third Proportional to 418,865.55 and 904,162.18

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Solution

The third proportional to 418,865.55 and 904,162.18 is: 1,951,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,865.55 : 904,162.18 = 904,162.18 : x
  2. Step 2: Convert to fraction form
    418,865.55/904,162.18 = 904,162.18/x
  3. Step 3: Cross multiply
    418,865.55x = 904,162.18 × 904,162.18
  4. Step 4: Simplify right side
    418,865.55x = 817,509,254,241.02
  5. Step 5: Solve for x
    x = 817,509,254,241.02/418,865.55
  6. Step 6: Final answer
    x = 1,951,722.32

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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.