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Finding the Third Proportional to 962,829 and 1,346,031

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Solution

The third proportional to 962,829 and 1,346,031 is: 1,881,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,829 : 1,346,031 = 1,346,031 : x
  2. Step 2: Convert to fraction form
    962,829/1,346,031 = 1,346,031/x
  3. Step 3: Cross multiply
    962,829x = 1,346,031 × 1,346,031
  4. Step 4: Simplify right side
    962,829x = 1,811,799,452,961
  5. Step 5: Solve for x
    x = 1,811,799,452,961/962,829
  6. Step 6: Final answer
    x = 1,881,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.