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Finding the Third Proportional to 419,284 and 904,988

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Solution

The third proportional to 419,284 and 904,988 is: 1,953,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,284 : 904,988 = 904,988 : x
  2. Step 2: Convert to fraction form
    419,284/904,988 = 904,988/x
  3. Step 3: Cross multiply
    419,284x = 904,988 × 904,988
  4. Step 4: Simplify right side
    419,284x = 819,003,280,144
  5. Step 5: Solve for x
    x = 819,003,280,144/419,284
  6. Step 6: Final answer
    x = 1,953,337.79

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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.