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Finding the Third Proportional to 739,498 and 1,514,042

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Solution

The third proportional to 739,498 and 1,514,042 is: 3,099,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,498 : 1,514,042 = 1,514,042 : x
  2. Step 2: Convert to fraction form
    739,498/1,514,042 = 1,514,042/x
  3. Step 3: Cross multiply
    739,498x = 1,514,042 × 1,514,042
  4. Step 4: Simplify right side
    739,498x = 2,292,323,177,764
  5. Step 5: Solve for x
    x = 2,292,323,177,764/739,498
  6. Step 6: Final answer
    x = 3,099,836.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.