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Finding the Third Proportional to 619,281 and 1,024,923

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Solution

The third proportional to 619,281 and 1,024,923 is: 1,696,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,281 : 1,024,923 = 1,024,923 : x
  2. Step 2: Convert to fraction form
    619,281/1,024,923 = 1,024,923/x
  3. Step 3: Cross multiply
    619,281x = 1,024,923 × 1,024,923
  4. Step 4: Simplify right side
    619,281x = 1,050,467,155,929
  5. Step 5: Solve for x
    x = 1,050,467,155,929/619,281
  6. Step 6: Final answer
    x = 1,696,268.99

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.