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Finding the Third Proportional to 771,082 and 1,660,315

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Solution

The third proportional to 771,082 and 1,660,315 is: 3,575,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,082 : 1,660,315 = 1,660,315 : x
  2. Step 2: Convert to fraction form
    771,082/1,660,315 = 1,660,315/x
  3. Step 3: Cross multiply
    771,082x = 1,660,315 × 1,660,315
  4. Step 4: Simplify right side
    771,082x = 2,756,645,899,225
  5. Step 5: Solve for x
    x = 2,756,645,899,225/771,082
  6. Step 6: Final answer
    x = 3,575,035.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.