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Finding the Third Proportional to 630,425 and 943,410

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Solution

The third proportional to 630,425 and 943,410 is: 1,411,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,425 : 943,410 = 943,410 : x
  2. Step 2: Convert to fraction form
    630,425/943,410 = 943,410/x
  3. Step 3: Cross multiply
    630,425x = 943,410 × 943,410
  4. Step 4: Simplify right side
    630,425x = 890,022,428,100
  5. Step 5: Solve for x
    x = 890,022,428,100/630,425
  6. Step 6: Final answer
    x = 1,411,781.62

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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.