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Finding the Third Proportional to 594,674 and 905,953

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Solution

The third proportional to 594,674 and 905,953 is: 1,380,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,674 : 905,953 = 905,953 : x
  2. Step 2: Convert to fraction form
    594,674/905,953 = 905,953/x
  3. Step 3: Cross multiply
    594,674x = 905,953 × 905,953
  4. Step 4: Simplify right side
    594,674x = 820,750,838,209
  5. Step 5: Solve for x
    x = 820,750,838,209/594,674
  6. Step 6: Final answer
    x = 1,380,169.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.