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Finding the Third Proportional to 965,018 and 2,062,557

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Solution

The third proportional to 965,018 and 2,062,557 is: 4,408,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,018 : 2,062,557 = 2,062,557 : x
  2. Step 2: Convert to fraction form
    965,018/2,062,557 = 2,062,557/x
  3. Step 3: Cross multiply
    965,018x = 2,062,557 × 2,062,557
  4. Step 4: Simplify right side
    965,018x = 4,254,141,378,249
  5. Step 5: Solve for x
    x = 4,254,141,378,249/965,018
  6. Step 6: Final answer
    x = 4,408,354.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.