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Finding the Third Proportional to 1,011,649.50 and 2,116,833

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Solution

The third proportional to 1,011,649.50 and 2,116,833 is: 4,429,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,649.50 : 2,116,833 = 2,116,833 : x
  2. Step 2: Convert to fraction form
    1,011,649.50/2,116,833 = 2,116,833/x
  3. Step 3: Cross multiply
    1,011,649.50x = 2,116,833 × 2,116,833
  4. Step 4: Simplify right side
    1,011,649.50x = 4,480,981,949,889
  5. Step 5: Solve for x
    x = 4,480,981,949,889/1,011,649.50
  6. Step 6: Final answer
    x = 4,429,381.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.