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Finding the Third Proportional to 507,652 and 1,202,656

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Solution

The third proportional to 507,652 and 1,202,656 is: 2,849,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,652 : 1,202,656 = 1,202,656 : x
  2. Step 2: Convert to fraction form
    507,652/1,202,656 = 1,202,656/x
  3. Step 3: Cross multiply
    507,652x = 1,202,656 × 1,202,656
  4. Step 4: Simplify right side
    507,652x = 1,446,381,454,336
  5. Step 5: Solve for x
    x = 1,446,381,454,336/507,652
  6. Step 6: Final answer
    x = 2,849,159.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.