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Finding the Third Proportional to 559,486 and 860,466

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Solution

The third proportional to 559,486 and 860,466 is: 1,323,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,486 : 860,466 = 860,466 : x
  2. Step 2: Convert to fraction form
    559,486/860,466 = 860,466/x
  3. Step 3: Cross multiply
    559,486x = 860,466 × 860,466
  4. Step 4: Simplify right side
    559,486x = 740,401,737,156
  5. Step 5: Solve for x
    x = 740,401,737,156/559,486
  6. Step 6: Final answer
    x = 1,323,360.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.