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Finding the Third Proportional to 520,928 and 1,069,472

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Solution

The third proportional to 520,928 and 1,069,472 is: 2,195,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,928 : 1,069,472 = 1,069,472 : x
  2. Step 2: Convert to fraction form
    520,928/1,069,472 = 1,069,472/x
  3. Step 3: Cross multiply
    520,928x = 1,069,472 × 1,069,472
  4. Step 4: Simplify right side
    520,928x = 1,143,770,358,784
  5. Step 5: Solve for x
    x = 1,143,770,358,784/520,928
  6. Step 6: Final answer
    x = 2,195,640.01

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.