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Finding the Third Proportional to 2,983,836 and 6,439,416

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Solution

The third proportional to 2,983,836 and 6,439,416 is: 13,896,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,836 : 6,439,416 = 6,439,416 : x
  2. Step 2: Convert to fraction form
    2,983,836/6,439,416 = 6,439,416/x
  3. Step 3: Cross multiply
    2,983,836x = 6,439,416 × 6,439,416
  4. Step 4: Simplify right side
    2,983,836x = 41,466,078,421,056
  5. Step 5: Solve for x
    x = 41,466,078,421,056/2,983,836
  6. Step 6: Final answer
    x = 13,896,902.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.