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Finding the Third Proportional to 621,072 and 934,719

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Solution

The third proportional to 621,072 and 934,719 is: 1,406,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,072 : 934,719 = 934,719 : x
  2. Step 2: Convert to fraction form
    621,072/934,719 = 934,719/x
  3. Step 3: Cross multiply
    621,072x = 934,719 × 934,719
  4. Step 4: Simplify right side
    621,072x = 873,699,608,961
  5. Step 5: Solve for x
    x = 873,699,608,961/621,072
  6. Step 6: Final answer
    x = 1,406,760.58

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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.