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Finding the Third Proportional to 2,133,480 and 4,665,472

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Solution

The third proportional to 2,133,480 and 4,665,472 is: 10,202,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,480 : 4,665,472 = 4,665,472 : x
  2. Step 2: Convert to fraction form
    2,133,480/4,665,472 = 4,665,472/x
  3. Step 3: Cross multiply
    2,133,480x = 4,665,472 × 4,665,472
  4. Step 4: Simplify right side
    2,133,480x = 21,766,628,982,784
  5. Step 5: Solve for x
    x = 21,766,628,982,784/2,133,480
  6. Step 6: Final answer
    x = 10,202,405.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.