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Finding the Third Proportional to 513,288 and 1,059,102

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Solution

The third proportional to 513,288 and 1,059,102 is: 2,185,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,288 : 1,059,102 = 1,059,102 : x
  2. Step 2: Convert to fraction form
    513,288/1,059,102 = 1,059,102/x
  3. Step 3: Cross multiply
    513,288x = 1,059,102 × 1,059,102
  4. Step 4: Simplify right side
    513,288x = 1,121,697,046,404
  5. Step 5: Solve for x
    x = 1,121,697,046,404/513,288
  6. Step 6: Final answer
    x = 2,185,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.