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Finding the Third Proportional to 982,210 and 1,467,265

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Solution

The third proportional to 982,210 and 1,467,265 is: 2,191,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,210 : 1,467,265 = 1,467,265 : x
  2. Step 2: Convert to fraction form
    982,210/1,467,265 = 1,467,265/x
  3. Step 3: Cross multiply
    982,210x = 1,467,265 × 1,467,265
  4. Step 4: Simplify right side
    982,210x = 2,152,866,580,225
  5. Step 5: Solve for x
    x = 2,152,866,580,225/982,210
  6. Step 6: Final answer
    x = 2,191,859.77

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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.