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Finding the Third Proportional to 1,433,134 and 2,142,213

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Solution

The third proportional to 1,433,134 and 2,142,213 is: 3,202,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,134 : 2,142,213 = 2,142,213 : x
  2. Step 2: Convert to fraction form
    1,433,134/2,142,213 = 2,142,213/x
  3. Step 3: Cross multiply
    1,433,134x = 2,142,213 × 2,142,213
  4. Step 4: Simplify right side
    1,433,134x = 4,589,076,537,369
  5. Step 5: Solve for x
    x = 4,589,076,537,369/1,433,134
  6. Step 6: Final answer
    x = 3,202,126.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.