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Finding the Third Proportional to 3,218,343 and 6,820,506

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Solution

The third proportional to 3,218,343 and 6,820,506 is: 14,454,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,343 : 6,820,506 = 6,820,506 : x
  2. Step 2: Convert to fraction form
    3,218,343/6,820,506 = 6,820,506/x
  3. Step 3: Cross multiply
    3,218,343x = 6,820,506 × 6,820,506
  4. Step 4: Simplify right side
    3,218,343x = 46,519,302,096,036
  5. Step 5: Solve for x
    x = 46,519,302,096,036/3,218,343
  6. Step 6: Final answer
    x = 14,454,426.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.