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Finding the Third Proportional to 452,886 and 925,434

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Solution

The third proportional to 452,886 and 925,434 is: 1,891,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,886 : 925,434 = 925,434 : x
  2. Step 2: Convert to fraction form
    452,886/925,434 = 925,434/x
  3. Step 3: Cross multiply
    452,886x = 925,434 × 925,434
  4. Step 4: Simplify right side
    452,886x = 856,428,088,356
  5. Step 5: Solve for x
    x = 856,428,088,356/452,886
  6. Step 6: Final answer
    x = 1,891,045.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.