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Finding the Third Proportional to 699,399 and 1,051,695

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Solution

The third proportional to 699,399 and 1,051,695 is: 1,581,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,399 : 1,051,695 = 1,051,695 : x
  2. Step 2: Convert to fraction form
    699,399/1,051,695 = 1,051,695/x
  3. Step 3: Cross multiply
    699,399x = 1,051,695 × 1,051,695
  4. Step 4: Simplify right side
    699,399x = 1,106,062,373,025
  5. Step 5: Solve for x
    x = 1,106,062,373,025/699,399
  6. Step 6: Final answer
    x = 1,581,446.89

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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.