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Finding the Third Proportional to 514,433 and 1,128,469

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Solution

The third proportional to 514,433 and 1,128,469 is: 2,475,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,433 : 1,128,469 = 1,128,469 : x
  2. Step 2: Convert to fraction form
    514,433/1,128,469 = 1,128,469/x
  3. Step 3: Cross multiply
    514,433x = 1,128,469 × 1,128,469
  4. Step 4: Simplify right side
    514,433x = 1,273,442,283,961
  5. Step 5: Solve for x
    x = 1,273,442,283,961/514,433
  6. Step 6: Final answer
    x = 2,475,428.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.