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Finding the Third Proportional to 735,858 and 1,043,523

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Solution

The third proportional to 735,858 and 1,043,523 is: 1,479,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,858 : 1,043,523 = 1,043,523 : x
  2. Step 2: Convert to fraction form
    735,858/1,043,523 = 1,043,523/x
  3. Step 3: Cross multiply
    735,858x = 1,043,523 × 1,043,523
  4. Step 4: Simplify right side
    735,858x = 1,088,940,251,529
  5. Step 5: Solve for x
    x = 1,088,940,251,529/735,858
  6. Step 6: Final answer
    x = 1,479,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.