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Finding the Third Proportional to 689,093,364 and 1,059,185,986

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Solution

The third proportional to 689,093,364 and 1,059,185,986 is: 1,628,044,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,093,364 : 1,059,185,986 = 1,059,185,986 : x
  2. Step 2: Convert to fraction form
    689,093,364/1,059,185,986 = 1,059,185,986/x
  3. Step 3: Cross multiply
    689,093,364x = 1,059,185,986 × 1,059,185,986
  4. Step 4: Simplify right side
    689,093,364x = 1,121,874,952,938,792,192
  5. Step 5: Solve for x
    x = 1,121,874,952,938,792,192/689,093,364
  6. Step 6: Final answer
    x = 1,628,044,923.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.