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Finding the Third Proportional to 621,057 and 934,695

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Solution

The third proportional to 621,057 and 934,695 is: 1,406,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,057 : 934,695 = 934,695 : x
  2. Step 2: Convert to fraction form
    621,057/934,695 = 934,695/x
  3. Step 3: Cross multiply
    621,057x = 934,695 × 934,695
  4. Step 4: Simplify right side
    621,057x = 873,654,743,025
  5. Step 5: Solve for x
    x = 873,654,743,025/621,057
  6. Step 6: Final answer
    x = 1,406,722.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.