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Finding the Third Proportional to 514,434 and 1,128,471

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Solution

The third proportional to 514,434 and 1,128,471 is: 2,475,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,434 : 1,128,471 = 1,128,471 : x
  2. Step 2: Convert to fraction form
    514,434/1,128,471 = 1,128,471/x
  3. Step 3: Cross multiply
    514,434x = 1,128,471 × 1,128,471
  4. Step 4: Simplify right side
    514,434x = 1,273,446,797,841
  5. Step 5: Solve for x
    x = 1,273,446,797,841/514,434
  6. Step 6: Final answer
    x = 2,475,432.80

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Why These Related Problems?

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