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Finding the Third Proportional to 733,816 and 1,013,970

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Solution

The third proportional to 733,816 and 1,013,970 is: 1,401,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,816 : 1,013,970 = 1,013,970 : x
  2. Step 2: Convert to fraction form
    733,816/1,013,970 = 1,013,970/x
  3. Step 3: Cross multiply
    733,816x = 1,013,970 × 1,013,970
  4. Step 4: Simplify right side
    733,816x = 1,028,135,160,900
  5. Step 5: Solve for x
    x = 1,028,135,160,900/733,816
  6. Step 6: Final answer
    x = 1,401,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.