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Finding the Third Proportional to 507,946 and 1,116,170

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Solution

The third proportional to 507,946 and 1,116,170 is: 2,452,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,946 : 1,116,170 = 1,116,170 : x
  2. Step 2: Convert to fraction form
    507,946/1,116,170 = 1,116,170/x
  3. Step 3: Cross multiply
    507,946x = 1,116,170 × 1,116,170
  4. Step 4: Simplify right side
    507,946x = 1,245,835,468,900
  5. Step 5: Solve for x
    x = 1,245,835,468,900/507,946
  6. Step 6: Final answer
    x = 2,452,692.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.