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Finding the Third Proportional to 508,742 and 1,106,059

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Solution

The third proportional to 508,742 and 1,106,059 is: 2,404,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,742 : 1,106,059 = 1,106,059 : x
  2. Step 2: Convert to fraction form
    508,742/1,106,059 = 1,106,059/x
  3. Step 3: Cross multiply
    508,742x = 1,106,059 × 1,106,059
  4. Step 4: Simplify right side
    508,742x = 1,223,366,511,481
  5. Step 5: Solve for x
    x = 1,223,366,511,481/508,742
  6. Step 6: Final answer
    x = 2,404,689.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.