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Finding the Third Proportional to 843,936 and 1,205,964

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Solution

The third proportional to 843,936 and 1,205,964 is: 1,723,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,936 : 1,205,964 = 1,205,964 : x
  2. Step 2: Convert to fraction form
    843,936/1,205,964 = 1,205,964/x
  3. Step 3: Cross multiply
    843,936x = 1,205,964 × 1,205,964
  4. Step 4: Simplify right side
    843,936x = 1,454,349,169,296
  5. Step 5: Solve for x
    x = 1,454,349,169,296/843,936
  6. Step 6: Final answer
    x = 1,723,293.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.