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Finding the Third Proportional to 473,777 and 1,036,123

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Solution

The third proportional to 473,777 and 1,036,123 is: 2,265,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,777 : 1,036,123 = 1,036,123 : x
  2. Step 2: Convert to fraction form
    473,777/1,036,123 = 1,036,123/x
  3. Step 3: Cross multiply
    473,777x = 1,036,123 × 1,036,123
  4. Step 4: Simplify right side
    473,777x = 1,073,550,871,129
  5. Step 5: Solve for x
    x = 1,073,550,871,129/473,777
  6. Step 6: Final answer
    x = 2,265,941.30

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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.