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Finding the Third Proportional to 685,637,736 and 1,044,498,250

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Solution

The third proportional to 685,637,736 and 1,044,498,250 is: 1,591,185,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,637,736 : 1,044,498,250 = 1,044,498,250 : x
  2. Step 2: Convert to fraction form
    685,637,736/1,044,498,250 = 1,044,498,250/x
  3. Step 3: Cross multiply
    685,637,736x = 1,044,498,250 × 1,044,498,250
  4. Step 4: Simplify right side
    685,637,736x = 1,090,976,594,253,062,528
  5. Step 5: Solve for x
    x = 1,090,976,594,253,062,528/685,637,736
  6. Step 6: Final answer
    x = 1,591,185,165.24

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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.