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Finding the Third Proportional to 827,520 and 1,265,328

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Solution

The third proportional to 827,520 and 1,265,328 is: 1,934,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,520 : 1,265,328 = 1,265,328 : x
  2. Step 2: Convert to fraction form
    827,520/1,265,328 = 1,265,328/x
  3. Step 3: Cross multiply
    827,520x = 1,265,328 × 1,265,328
  4. Step 4: Simplify right side
    827,520x = 1,601,054,947,584
  5. Step 5: Solve for x
    x = 1,601,054,947,584/827,520
  6. Step 6: Final answer
    x = 1,934,762.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.