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Finding the Third Proportional to 1,000,351.69 and 2,105,238.94

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Solution

The third proportional to 1,000,351.69 and 2,105,238.94 is: 4,430,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,351.69 : 2,105,238.94 = 2,105,238.94 : x
  2. Step 2: Convert to fraction form
    1,000,351.69/2,105,238.94 = 2,105,238.94/x
  3. Step 3: Cross multiply
    1,000,351.69x = 2,105,238.94 × 2,105,238.94
  4. Step 4: Simplify right side
    1,000,351.69x = 4,432,030,983,966.13
  5. Step 5: Solve for x
    x = 4,432,030,983,966.13/1,000,351.69
  6. Step 6: Final answer
    x = 4,430,472.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.