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Finding the Third Proportional to 625,071 and 933,491

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Solution

The third proportional to 625,071 and 933,491 is: 1,394,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,071 : 933,491 = 933,491 : x
  2. Step 2: Convert to fraction form
    625,071/933,491 = 933,491/x
  3. Step 3: Cross multiply
    625,071x = 933,491 × 933,491
  4. Step 4: Simplify right side
    625,071x = 871,405,447,081
  5. Step 5: Solve for x
    x = 871,405,447,081/625,071
  6. Step 6: Final answer
    x = 1,394,090.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.