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Finding the Third Proportional to 2,652,966 and 5,684,472

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Solution

The third proportional to 2,652,966 and 5,684,472 is: 12,180,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,966 : 5,684,472 = 5,684,472 : x
  2. Step 2: Convert to fraction form
    2,652,966/5,684,472 = 5,684,472/x
  3. Step 3: Cross multiply
    2,652,966x = 5,684,472 × 5,684,472
  4. Step 4: Simplify right side
    2,652,966x = 32,313,221,918,784
  5. Step 5: Solve for x
    x = 32,313,221,918,784/2,652,966
  6. Step 6: Final answer
    x = 12,180,036.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.