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Finding the Third Proportional to 685,382,713 and 1,044,144,147

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Solution

The third proportional to 685,382,713 and 1,044,144,147 is: 1,590,698,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,382,713 : 1,044,144,147 = 1,044,144,147 : x
  2. Step 2: Convert to fraction form
    685,382,713/1,044,144,147 = 1,044,144,147/x
  3. Step 3: Cross multiply
    685,382,713x = 1,044,144,147 × 1,044,144,147
  4. Step 4: Simplify right side
    685,382,713x = 1,090,236,999,714,357,632
  5. Step 5: Solve for x
    x = 1,090,236,999,714,357,632/685,382,713
  6. Step 6: Final answer
    x = 1,590,698,129.72

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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.