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Finding the Third Proportional to 479,142 and 1,047,951

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Solution

The third proportional to 479,142 and 1,047,951 is: 2,292,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,142 : 1,047,951 = 1,047,951 : x
  2. Step 2: Convert to fraction form
    479,142/1,047,951 = 1,047,951/x
  3. Step 3: Cross multiply
    479,142x = 1,047,951 × 1,047,951
  4. Step 4: Simplify right side
    479,142x = 1,098,201,298,401
  5. Step 5: Solve for x
    x = 1,098,201,298,401/479,142
  6. Step 6: Final answer
    x = 2,292,016.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.