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Finding the Third Proportional to 659,735,421 and 969,408,252

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Solution

The third proportional to 659,735,421 and 969,408,252 is: 1,424,438,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,735,421 : 969,408,252 = 969,408,252 : x
  2. Step 2: Convert to fraction form
    659,735,421/969,408,252 = 969,408,252/x
  3. Step 3: Cross multiply
    659,735,421x = 969,408,252 × 969,408,252
  4. Step 4: Simplify right side
    659,735,421x = 939,752,359,045,695,488
  5. Step 5: Solve for x
    x = 939,752,359,045,695,488/659,735,421
  6. Step 6: Final answer
    x = 1,424,438,235.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.