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Finding the Third Proportional to 473,958 and 1,052,892

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Solution

The third proportional to 473,958 and 1,052,892 is: 2,338,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,958 : 1,052,892 = 1,052,892 : x
  2. Step 2: Convert to fraction form
    473,958/1,052,892 = 1,052,892/x
  3. Step 3: Cross multiply
    473,958x = 1,052,892 × 1,052,892
  4. Step 4: Simplify right side
    473,958x = 1,108,581,563,664
  5. Step 5: Solve for x
    x = 1,108,581,563,664/473,958
  6. Step 6: Final answer
    x = 2,338,986.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.