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Finding the Third Proportional to 1,469,025 and 3,114,414

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Solution

The third proportional to 1,469,025 and 3,114,414 is: 6,602,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,025 : 3,114,414 = 3,114,414 : x
  2. Step 2: Convert to fraction form
    1,469,025/3,114,414 = 3,114,414/x
  3. Step 3: Cross multiply
    1,469,025x = 3,114,414 × 3,114,414
  4. Step 4: Simplify right side
    1,469,025x = 9,699,574,563,396
  5. Step 5: Solve for x
    x = 9,699,574,563,396/1,469,025
  6. Step 6: Final answer
    x = 6,602,729.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.