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Finding the Third Proportional to 581,419,098 and 893,683,197

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Solution

The third proportional to 581,419,098 and 893,683,197 is: 1,373,655,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,419,098 : 893,683,197 = 893,683,197 : x
  2. Step 2: Convert to fraction form
    581,419,098/893,683,197 = 893,683,197/x
  3. Step 3: Cross multiply
    581,419,098x = 893,683,197 × 893,683,197
  4. Step 4: Simplify right side
    581,419,098x = 798,669,656,600,140,800
  5. Step 5: Solve for x
    x = 798,669,656,600,140,800/581,419,098
  6. Step 6: Final answer
    x = 1,373,655,697.50

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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.