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Finding the Third Proportional to 493,262 and 1,059,952

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Solution

The third proportional to 493,262 and 1,059,952 is: 2,277,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,262 : 1,059,952 = 1,059,952 : x
  2. Step 2: Convert to fraction form
    493,262/1,059,952 = 1,059,952/x
  3. Step 3: Cross multiply
    493,262x = 1,059,952 × 1,059,952
  4. Step 4: Simplify right side
    493,262x = 1,123,498,242,304
  5. Step 5: Solve for x
    x = 1,123,498,242,304/493,262
  6. Step 6: Final answer
    x = 2,277,690.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.