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Finding the Third Proportional to 561,084 and 869,202

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Solution

The third proportional to 561,084 and 869,202 is: 1,346,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,084 : 869,202 = 869,202 : x
  2. Step 2: Convert to fraction form
    561,084/869,202 = 869,202/x
  3. Step 3: Cross multiply
    561,084x = 869,202 × 869,202
  4. Step 4: Simplify right side
    561,084x = 755,512,116,804
  5. Step 5: Solve for x
    x = 755,512,116,804/561,084
  6. Step 6: Final answer
    x = 1,346,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.