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Finding the Third Proportional to 960,410 and 2,083,612

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Solution

The third proportional to 960,410 and 2,083,612 is: 4,520,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,410 : 2,083,612 = 2,083,612 : x
  2. Step 2: Convert to fraction form
    960,410/2,083,612 = 2,083,612/x
  3. Step 3: Cross multiply
    960,410x = 2,083,612 × 2,083,612
  4. Step 4: Simplify right side
    960,410x = 4,341,438,966,544
  5. Step 5: Solve for x
    x = 4,341,438,966,544/960,410
  6. Step 6: Final answer
    x = 4,520,401.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.