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Finding the Third Proportional to 409,612 and 865,951

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Solution

The third proportional to 409,612 and 865,951 is: 1,830,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,612 : 865,951 = 865,951 : x
  2. Step 2: Convert to fraction form
    409,612/865,951 = 865,951/x
  3. Step 3: Cross multiply
    409,612x = 865,951 × 865,951
  4. Step 4: Simplify right side
    409,612x = 749,871,134,401
  5. Step 5: Solve for x
    x = 749,871,134,401/409,612
  6. Step 6: Final answer
    x = 1,830,686.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.