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Finding the Third Proportional to 1,223,814 and 1,720,357

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Solution

The third proportional to 1,223,814 and 1,720,357 is: 2,418,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,814 : 1,720,357 = 1,720,357 : x
  2. Step 2: Convert to fraction form
    1,223,814/1,720,357 = 1,720,357/x
  3. Step 3: Cross multiply
    1,223,814x = 1,720,357 × 1,720,357
  4. Step 4: Simplify right side
    1,223,814x = 2,959,628,207,449
  5. Step 5: Solve for x
    x = 2,959,628,207,449/1,223,814
  6. Step 6: Final answer
    x = 2,418,364.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.