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Finding the Third Proportional to 478,807 and 1,028,175

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Solution

The third proportional to 478,807 and 1,028,175 is: 2,207,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,807 : 1,028,175 = 1,028,175 : x
  2. Step 2: Convert to fraction form
    478,807/1,028,175 = 1,028,175/x
  3. Step 3: Cross multiply
    478,807x = 1,028,175 × 1,028,175
  4. Step 4: Simplify right side
    478,807x = 1,057,143,830,625
  5. Step 5: Solve for x
    x = 1,057,143,830,625/478,807
  6. Step 6: Final answer
    x = 2,207,870.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.