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Finding the Third Proportional to 471,174 and 1,046,892

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Solution

The third proportional to 471,174 and 1,046,892 is: 2,326,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,174 : 1,046,892 = 1,046,892 : x
  2. Step 2: Convert to fraction form
    471,174/1,046,892 = 1,046,892/x
  3. Step 3: Cross multiply
    471,174x = 1,046,892 × 1,046,892
  4. Step 4: Simplify right side
    471,174x = 1,095,982,859,664
  5. Step 5: Solve for x
    x = 1,095,982,859,664/471,174
  6. Step 6: Final answer
    x = 2,326,068.20

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