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Finding the Third Proportional to 812,382 and 1,135,702.88

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Solution

The third proportional to 812,382 and 1,135,702.88 is: 1,587,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,382 : 1,135,702.88 = 1,135,702.88 : x
  2. Step 2: Convert to fraction form
    812,382/1,135,702.88 = 1,135,702.88/x
  3. Step 3: Cross multiply
    812,382x = 1,135,702.88 × 1,135,702.88
  4. Step 4: Simplify right side
    812,382x = 1,289,821,020,283.27
  5. Step 5: Solve for x
    x = 1,289,821,020,283.27/812,382
  6. Step 6: Final answer
    x = 1,587,702.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.