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Finding the Third Proportional to 561,122 and 847,515

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Solution

The third proportional to 561,122 and 847,515 is: 1,280,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,122 : 847,515 = 847,515 : x
  2. Step 2: Convert to fraction form
    561,122/847,515 = 847,515/x
  3. Step 3: Cross multiply
    561,122x = 847,515 × 847,515
  4. Step 4: Simplify right side
    561,122x = 718,281,675,225
  5. Step 5: Solve for x
    x = 718,281,675,225/561,122
  6. Step 6: Final answer
    x = 1,280,081.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.