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Finding the Third Proportional to 509,760 and 1,041,714

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Solution

The third proportional to 509,760 and 1,041,714 is: 2,128,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,760 : 1,041,714 = 1,041,714 : x
  2. Step 2: Convert to fraction form
    509,760/1,041,714 = 1,041,714/x
  3. Step 3: Cross multiply
    509,760x = 1,041,714 × 1,041,714
  4. Step 4: Simplify right side
    509,760x = 1,085,168,057,796
  5. Step 5: Solve for x
    x = 1,085,168,057,796/509,760
  6. Step 6: Final answer
    x = 2,128,782.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.