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Finding the Third Proportional to 729,458 and 1,571,273

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Solution

The third proportional to 729,458 and 1,571,273 is: 3,384,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,458 : 1,571,273 = 1,571,273 : x
  2. Step 2: Convert to fraction form
    729,458/1,571,273 = 1,571,273/x
  3. Step 3: Cross multiply
    729,458x = 1,571,273 × 1,571,273
  4. Step 4: Simplify right side
    729,458x = 2,468,898,840,529
  5. Step 5: Solve for x
    x = 2,468,898,840,529/729,458
  6. Step 6: Final answer
    x = 3,384,566.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.