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Finding the Third Proportional to 657,103 and 959,818

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Solution

The third proportional to 657,103 and 959,818 is: 1,401,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,103 : 959,818 = 959,818 : x
  2. Step 2: Convert to fraction form
    657,103/959,818 = 959,818/x
  3. Step 3: Cross multiply
    657,103x = 959,818 × 959,818
  4. Step 4: Simplify right side
    657,103x = 921,250,593,124
  5. Step 5: Solve for x
    x = 921,250,593,124/657,103
  6. Step 6: Final answer
    x = 1,401,988.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.