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Finding the Third Proportional to 1,913,679 and 4,102,107

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Solution

The third proportional to 1,913,679 and 4,102,107 is: 8,793,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,679 : 4,102,107 = 4,102,107 : x
  2. Step 2: Convert to fraction form
    1,913,679/4,102,107 = 4,102,107/x
  3. Step 3: Cross multiply
    1,913,679x = 4,102,107 × 4,102,107
  4. Step 4: Simplify right side
    1,913,679x = 16,827,281,839,449
  5. Step 5: Solve for x
    x = 16,827,281,839,449/1,913,679
  6. Step 6: Final answer
    x = 8,793,158.02

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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.