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Finding the Third Proportional to 507,024 and 1,102,284

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Solution

The third proportional to 507,024 and 1,102,284 is: 2,396,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,024 : 1,102,284 = 1,102,284 : x
  2. Step 2: Convert to fraction form
    507,024/1,102,284 = 1,102,284/x
  3. Step 3: Cross multiply
    507,024x = 1,102,284 × 1,102,284
  4. Step 4: Simplify right side
    507,024x = 1,215,030,016,656
  5. Step 5: Solve for x
    x = 1,215,030,016,656/507,024
  6. Step 6: Final answer
    x = 2,396,395.47

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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.