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Finding the Third Proportional to 644,958 and 1,016,914

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Solution

The third proportional to 644,958 and 1,016,914 is: 1,603,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,958 : 1,016,914 = 1,016,914 : x
  2. Step 2: Convert to fraction form
    644,958/1,016,914 = 1,016,914/x
  3. Step 3: Cross multiply
    644,958x = 1,016,914 × 1,016,914
  4. Step 4: Simplify right side
    644,958x = 1,034,114,083,396
  5. Step 5: Solve for x
    x = 1,034,114,083,396/644,958
  6. Step 6: Final answer
    x = 1,603,382.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.