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Finding the Third Proportional to 704,103 and 1,520,451

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Solution

The third proportional to 704,103 and 1,520,451 is: 3,283,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,103 : 1,520,451 = 1,520,451 : x
  2. Step 2: Convert to fraction form
    704,103/1,520,451 = 1,520,451/x
  3. Step 3: Cross multiply
    704,103x = 1,520,451 × 1,520,451
  4. Step 4: Simplify right side
    704,103x = 2,311,771,243,401
  5. Step 5: Solve for x
    x = 2,311,771,243,401/704,103
  6. Step 6: Final answer
    x = 3,283,285.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.