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Finding the Third Proportional to 509,452 and 1,107,344

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Solution

The third proportional to 509,452 and 1,107,344 is: 2,406,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,452 : 1,107,344 = 1,107,344 : x
  2. Step 2: Convert to fraction form
    509,452/1,107,344 = 1,107,344/x
  3. Step 3: Cross multiply
    509,452x = 1,107,344 × 1,107,344
  4. Step 4: Simplify right side
    509,452x = 1,226,210,734,336
  5. Step 5: Solve for x
    x = 1,226,210,734,336/509,452
  6. Step 6: Final answer
    x = 2,406,921.03

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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.