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Finding the Third Proportional to 508,930 and 1,059,740

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Solution

The third proportional to 508,930 and 1,059,740 is: 2,206,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,930 : 1,059,740 = 1,059,740 : x
  2. Step 2: Convert to fraction form
    508,930/1,059,740 = 1,059,740/x
  3. Step 3: Cross multiply
    508,930x = 1,059,740 × 1,059,740
  4. Step 4: Simplify right side
    508,930x = 1,123,048,867,600
  5. Step 5: Solve for x
    x = 1,123,048,867,600/508,930
  6. Step 6: Final answer
    x = 2,206,686.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.