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Finding the Third Proportional to 1,386,836 and 2,983,624

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Solution

The third proportional to 1,386,836 and 2,983,624 is: 6,418,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,836 : 2,983,624 = 2,983,624 : x
  2. Step 2: Convert to fraction form
    1,386,836/2,983,624 = 2,983,624/x
  3. Step 3: Cross multiply
    1,386,836x = 2,983,624 × 2,983,624
  4. Step 4: Simplify right side
    1,386,836x = 8,902,012,173,376
  5. Step 5: Solve for x
    x = 8,902,012,173,376/1,386,836
  6. Step 6: Final answer
    x = 6,418,936.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.