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Finding the Third Proportional to 581,419,121.34 and 893,683,233.84

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Solution

The third proportional to 581,419,121.34 and 893,683,233.84 is: 1,373,655,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,419,121.34 : 893,683,233.84 = 893,683,233.84 : x
  2. Step 2: Convert to fraction form
    581,419,121.34/893,683,233.84 = 893,683,233.84/x
  3. Step 3: Cross multiply
    581,419,121.34x = 893,683,233.84 × 893,683,233.84
  4. Step 4: Simplify right side
    581,419,121.34x = 798,669,722,453,369,088
  5. Step 5: Solve for x
    x = 798,669,722,453,369,088/581,419,121.34
  6. Step 6: Final answer
    x = 1,373,655,755.61

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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.