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Finding the Third Proportional to 1,412,323 and 1,813,383

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Solution

The third proportional to 1,412,323 and 1,813,383 is: 2,328,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,323 : 1,813,383 = 1,813,383 : x
  2. Step 2: Convert to fraction form
    1,412,323/1,813,383 = 1,813,383/x
  3. Step 3: Cross multiply
    1,412,323x = 1,813,383 × 1,813,383
  4. Step 4: Simplify right side
    1,412,323x = 3,288,357,904,689
  5. Step 5: Solve for x
    x = 3,288,357,904,689/1,412,323
  6. Step 6: Final answer
    x = 2,328,332.76

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.