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Finding the Third Proportional to 1,630,269 and 3,575,463

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Solution

The third proportional to 1,630,269 and 3,575,463 is: 7,841,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,269 : 3,575,463 = 3,575,463 : x
  2. Step 2: Convert to fraction form
    1,630,269/3,575,463 = 3,575,463/x
  3. Step 3: Cross multiply
    1,630,269x = 3,575,463 × 3,575,463
  4. Step 4: Simplify right side
    1,630,269x = 12,783,935,664,369
  5. Step 5: Solve for x
    x = 12,783,935,664,369/1,630,269
  6. Step 6: Final answer
    x = 7,841,611.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.