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Finding the Third Proportional to 630,223 and 1,382,897

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Solution

The third proportional to 630,223 and 1,382,897 is: 3,034,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,223 : 1,382,897 = 1,382,897 : x
  2. Step 2: Convert to fraction form
    630,223/1,382,897 = 1,382,897/x
  3. Step 3: Cross multiply
    630,223x = 1,382,897 × 1,382,897
  4. Step 4: Simplify right side
    630,223x = 1,912,404,112,609
  5. Step 5: Solve for x
    x = 1,912,404,112,609/630,223
  6. Step 6: Final answer
    x = 3,034,487.97

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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.