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Finding the Third Proportional to 620,951 and 934,501

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Solution

The third proportional to 620,951 and 934,501 is: 1,406,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,951 : 934,501 = 934,501 : x
  2. Step 2: Convert to fraction form
    620,951/934,501 = 934,501/x
  3. Step 3: Cross multiply
    620,951x = 934,501 × 934,501
  4. Step 4: Simplify right side
    620,951x = 873,292,119,001
  5. Step 5: Solve for x
    x = 873,292,119,001/620,951
  6. Step 6: Final answer
    x = 1,406,378.47

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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.