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Finding the Third Proportional to 467,514 and 1,023,706

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Solution

The third proportional to 467,514 and 1,023,706 is: 2,241,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,514 : 1,023,706 = 1,023,706 : x
  2. Step 2: Convert to fraction form
    467,514/1,023,706 = 1,023,706/x
  3. Step 3: Cross multiply
    467,514x = 1,023,706 × 1,023,706
  4. Step 4: Simplify right side
    467,514x = 1,047,973,974,436
  5. Step 5: Solve for x
    x = 1,047,973,974,436/467,514
  6. Step 6: Final answer
    x = 2,241,588.43

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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.