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Finding the Third Proportional to 827,382 and 1,265,130

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Solution

The third proportional to 827,382 and 1,265,130 is: 1,934,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,382 : 1,265,130 = 1,265,130 : x
  2. Step 2: Convert to fraction form
    827,382/1,265,130 = 1,265,130/x
  3. Step 3: Cross multiply
    827,382x = 1,265,130 × 1,265,130
  4. Step 4: Simplify right side
    827,382x = 1,600,553,916,900
  5. Step 5: Solve for x
    x = 1,600,553,916,900/827,382
  6. Step 6: Final answer
    x = 1,934,479.98

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Why These Related Problems?

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