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Finding the Third Proportional to 630,441 and 943,434

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Solution

The third proportional to 630,441 and 943,434 is: 1,411,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,441 : 943,434 = 943,434 : x
  2. Step 2: Convert to fraction form
    630,441/943,434 = 943,434/x
  3. Step 3: Cross multiply
    630,441x = 943,434 × 943,434
  4. Step 4: Simplify right side
    630,441x = 890,067,712,356
  5. Step 5: Solve for x
    x = 890,067,712,356/630,441
  6. Step 6: Final answer
    x = 1,411,817.62

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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.