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Finding the Third Proportional to 478,647 and 1,009,580

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Solution

The third proportional to 478,647 and 1,009,580 is: 2,129,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,647 : 1,009,580 = 1,009,580 : x
  2. Step 2: Convert to fraction form
    478,647/1,009,580 = 1,009,580/x
  3. Step 3: Cross multiply
    478,647x = 1,009,580 × 1,009,580
  4. Step 4: Simplify right side
    478,647x = 1,019,251,776,400
  5. Step 5: Solve for x
    x = 1,019,251,776,400/478,647
  6. Step 6: Final answer
    x = 2,129,443.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.