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Finding the Third Proportional to 630,453 and 943,452

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Solution

The third proportional to 630,453 and 943,452 is: 1,411,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,453 : 943,452 = 943,452 : x
  2. Step 2: Convert to fraction form
    630,453/943,452 = 943,452/x
  3. Step 3: Cross multiply
    630,453x = 943,452 × 943,452
  4. Step 4: Simplify right side
    630,453x = 890,101,676,304
  5. Step 5: Solve for x
    x = 890,101,676,304/630,453
  6. Step 6: Final answer
    x = 1,411,844.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.