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Finding the Third Proportional to 482,650 and 1,060,466

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Solution

The third proportional to 482,650 and 1,060,466 is: 2,330,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,650 : 1,060,466 = 1,060,466 : x
  2. Step 2: Convert to fraction form
    482,650/1,060,466 = 1,060,466/x
  3. Step 3: Cross multiply
    482,650x = 1,060,466 × 1,060,466
  4. Step 4: Simplify right side
    482,650x = 1,124,588,137,156
  5. Step 5: Solve for x
    x = 1,124,588,137,156/482,650
  6. Step 6: Final answer
    x = 2,330,028.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.