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Finding the Third Proportional to 959,025 and 1,598,148

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Solution

The third proportional to 959,025 and 1,598,148 is: 2,663,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,025 : 1,598,148 = 1,598,148 : x
  2. Step 2: Convert to fraction form
    959,025/1,598,148 = 1,598,148/x
  3. Step 3: Cross multiply
    959,025x = 1,598,148 × 1,598,148
  4. Step 4: Simplify right side
    959,025x = 2,554,077,029,904
  5. Step 5: Solve for x
    x = 2,554,077,029,904/959,025
  6. Step 6: Final answer
    x = 2,663,201.72

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.