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Finding the Third Proportional to 959,664 and 2,037,408

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Solution

The third proportional to 959,664 and 2,037,408 is: 4,325,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,664 : 2,037,408 = 2,037,408 : x
  2. Step 2: Convert to fraction form
    959,664/2,037,408 = 2,037,408/x
  3. Step 3: Cross multiply
    959,664x = 2,037,408 × 2,037,408
  4. Step 4: Simplify right side
    959,664x = 4,151,031,358,464
  5. Step 5: Solve for x
    x = 4,151,031,358,464/959,664
  6. Step 6: Final answer
    x = 4,325,504.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.