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Finding the Third Proportional to 651,078 and 995,382

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Solution

The third proportional to 651,078 and 995,382 is: 1,521,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,078 : 995,382 = 995,382 : x
  2. Step 2: Convert to fraction form
    651,078/995,382 = 995,382/x
  3. Step 3: Cross multiply
    651,078x = 995,382 × 995,382
  4. Step 4: Simplify right side
    651,078x = 990,785,325,924
  5. Step 5: Solve for x
    x = 990,785,325,924/651,078
  6. Step 6: Final answer
    x = 1,521,761.33

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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.