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Finding the Third Proportional to 616,830 and 1,375,488

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Solution

The third proportional to 616,830 and 1,375,488 is: 3,067,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,830 : 1,375,488 = 1,375,488 : x
  2. Step 2: Convert to fraction form
    616,830/1,375,488 = 1,375,488/x
  3. Step 3: Cross multiply
    616,830x = 1,375,488 × 1,375,488
  4. Step 4: Simplify right side
    616,830x = 1,891,967,238,144
  5. Step 5: Solve for x
    x = 1,891,967,238,144/616,830
  6. Step 6: Final answer
    x = 3,067,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.