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Finding the Third Proportional to 654,934 and 1,409,468

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Solution

The third proportional to 654,934 and 1,409,468 is: 3,033,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,934 : 1,409,468 = 1,409,468 : x
  2. Step 2: Convert to fraction form
    654,934/1,409,468 = 1,409,468/x
  3. Step 3: Cross multiply
    654,934x = 1,409,468 × 1,409,468
  4. Step 4: Simplify right side
    654,934x = 1,986,600,043,024
  5. Step 5: Solve for x
    x = 1,986,600,043,024/654,934
  6. Step 6: Final answer
    x = 3,033,282.81

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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.