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Finding the Third Proportional to 469,199 and 1,031,710

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Solution

The third proportional to 469,199 and 1,031,710 is: 2,268,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,199 : 1,031,710 = 1,031,710 : x
  2. Step 2: Convert to fraction form
    469,199/1,031,710 = 1,031,710/x
  3. Step 3: Cross multiply
    469,199x = 1,031,710 × 1,031,710
  4. Step 4: Simplify right side
    469,199x = 1,064,425,524,100
  5. Step 5: Solve for x
    x = 1,064,425,524,100/469,199
  6. Step 6: Final answer
    x = 2,268,601.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.