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Finding the Third Proportional to 491,025 and 1,059,513

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Solution

The third proportional to 491,025 and 1,059,513 is: 2,286,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,025 : 1,059,513 = 1,059,513 : x
  2. Step 2: Convert to fraction form
    491,025/1,059,513 = 1,059,513/x
  3. Step 3: Cross multiply
    491,025x = 1,059,513 × 1,059,513
  4. Step 4: Simplify right side
    491,025x = 1,122,567,797,169
  5. Step 5: Solve for x
    x = 1,122,567,797,169/491,025
  6. Step 6: Final answer
    x = 2,286,172.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.