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Finding the Third Proportional to 455,514 and 974,080

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Solution

The third proportional to 455,514 and 974,080 is: 2,082,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,514 : 974,080 = 974,080 : x
  2. Step 2: Convert to fraction form
    455,514/974,080 = 974,080/x
  3. Step 3: Cross multiply
    455,514x = 974,080 × 974,080
  4. Step 4: Simplify right side
    455,514x = 948,831,846,400
  5. Step 5: Solve for x
    x = 948,831,846,400/455,514
  6. Step 6: Final answer
    x = 2,082,991.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.