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Finding the Third Proportional to 475,848 and 1,030,104

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Solution

The third proportional to 475,848 and 1,030,104 is: 2,229,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,848 : 1,030,104 = 1,030,104 : x
  2. Step 2: Convert to fraction form
    475,848/1,030,104 = 1,030,104/x
  3. Step 3: Cross multiply
    475,848x = 1,030,104 × 1,030,104
  4. Step 4: Simplify right side
    475,848x = 1,061,114,250,816
  5. Step 5: Solve for x
    x = 1,061,114,250,816/475,848
  6. Step 6: Final answer
    x = 2,229,943.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.