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Finding the Third Proportional to 822,580 and 1,244,240

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Solution

The third proportional to 822,580 and 1,244,240 is: 1,882,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,580 : 1,244,240 = 1,244,240 : x
  2. Step 2: Convert to fraction form
    822,580/1,244,240 = 1,244,240/x
  3. Step 3: Cross multiply
    822,580x = 1,244,240 × 1,244,240
  4. Step 4: Simplify right side
    822,580x = 1,548,133,177,600
  5. Step 5: Solve for x
    x = 1,548,133,177,600/822,580
  6. Step 6: Final answer
    x = 1,882,045.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.