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Finding the Third Proportional to 823,527 and 1,230,441

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Solution

The third proportional to 823,527 and 1,230,441 is: 1,838,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,527 : 1,230,441 = 1,230,441 : x
  2. Step 2: Convert to fraction form
    823,527/1,230,441 = 1,230,441/x
  3. Step 3: Cross multiply
    823,527x = 1,230,441 × 1,230,441
  4. Step 4: Simplify right side
    823,527x = 1,513,985,054,481
  5. Step 5: Solve for x
    x = 1,513,985,054,481/823,527
  6. Step 6: Final answer
    x = 1,838,415.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.