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Finding the Third Proportional to 688,859,682 and 1,063,747,738

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Solution

The third proportional to 688,859,682 and 1,063,747,738 is: 1,642,655,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,859,682 : 1,063,747,738 = 1,063,747,738 : x
  2. Step 2: Convert to fraction form
    688,859,682/1,063,747,738 = 1,063,747,738/x
  3. Step 3: Cross multiply
    688,859,682x = 1,063,747,738 × 1,063,747,738
  4. Step 4: Simplify right side
    688,859,682x = 1,131,559,250,100,116,608
  5. Step 5: Solve for x
    x = 1,131,559,250,100,116,608/688,859,682
  6. Step 6: Final answer
    x = 1,642,655,652.04

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