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Finding the Third Proportional to 581,419,122.75 and 893,683,233

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Solution

The third proportional to 581,419,122.75 and 893,683,233 is: 1,373,655,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,419,122.75 : 893,683,233 = 893,683,233 : x
  2. Step 2: Convert to fraction form
    581,419,122.75/893,683,233 = 893,683,233/x
  3. Step 3: Cross multiply
    581,419,122.75x = 893,683,233 × 893,683,233
  4. Step 4: Simplify right side
    581,419,122.75x = 798,669,720,945,332,352
  5. Step 5: Solve for x
    x = 798,669,720,945,332,352/581,419,122.75
  6. Step 6: Final answer
    x = 1,373,655,749.69

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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.