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Finding the Third Proportional to 511,498 and 1,114,580

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Solution

The third proportional to 511,498 and 1,114,580 is: 2,428,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,498 : 1,114,580 = 1,114,580 : x
  2. Step 2: Convert to fraction form
    511,498/1,114,580 = 1,114,580/x
  3. Step 3: Cross multiply
    511,498x = 1,114,580 × 1,114,580
  4. Step 4: Simplify right side
    511,498x = 1,242,288,576,400
  5. Step 5: Solve for x
    x = 1,242,288,576,400/511,498
  6. Step 6: Final answer
    x = 2,428,726.17

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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.