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Finding the Third Proportional to 514,242 and 1,116,933

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Solution

The third proportional to 514,242 and 1,116,933 is: 2,425,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,242 : 1,116,933 = 1,116,933 : x
  2. Step 2: Convert to fraction form
    514,242/1,116,933 = 1,116,933/x
  3. Step 3: Cross multiply
    514,242x = 1,116,933 × 1,116,933
  4. Step 4: Simplify right side
    514,242x = 1,247,539,326,489
  5. Step 5: Solve for x
    x = 1,247,539,326,489/514,242
  6. Step 6: Final answer
    x = 2,425,977.12

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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.