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Finding the Third Proportional to 590,824 and 1,288,580

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Solution

The third proportional to 590,824 and 1,288,580 is: 2,810,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,824 : 1,288,580 = 1,288,580 : x
  2. Step 2: Convert to fraction form
    590,824/1,288,580 = 1,288,580/x
  3. Step 3: Cross multiply
    590,824x = 1,288,580 × 1,288,580
  4. Step 4: Simplify right side
    590,824x = 1,660,438,416,400
  5. Step 5: Solve for x
    x = 1,660,438,416,400/590,824
  6. Step 6: Final answer
    x = 2,810,377.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.