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Finding the Third Proportional to 685,382,514.75 and 1,044,143,841.38

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Solution

The third proportional to 685,382,514.75 and 1,044,143,841.38 is: 1,590,697,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,382,514.75 : 1,044,143,841.38 = 1,044,143,841.38 : x
  2. Step 2: Convert to fraction form
    685,382,514.75/1,044,143,841.38 = 1,044,143,841.38/x
  3. Step 3: Cross multiply
    685,382,514.75x = 1,044,143,841.38 × 1,044,143,841.38
  4. Step 4: Simplify right side
    685,382,514.75x = 1,090,236,361,481,341,184
  5. Step 5: Solve for x
    x = 1,090,236,361,481,341,184/685,382,514.75
  6. Step 6: Final answer
    x = 1,590,697,658.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.