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Finding the Third Proportional to 496,524 and 1,063,029

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Solution

The third proportional to 496,524 and 1,063,029 is: 2,275,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,524 : 1,063,029 = 1,063,029 : x
  2. Step 2: Convert to fraction form
    496,524/1,063,029 = 1,063,029/x
  3. Step 3: Cross multiply
    496,524x = 1,063,029 × 1,063,029
  4. Step 4: Simplify right side
    496,524x = 1,130,030,654,841
  5. Step 5: Solve for x
    x = 1,130,030,654,841/496,524
  6. Step 6: Final answer
    x = 2,275,883.25

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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.