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Finding the Third Proportional to 1,600,203 and 3,499,158

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Solution

The third proportional to 1,600,203 and 3,499,158 is: 7,651,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,203 : 3,499,158 = 3,499,158 : x
  2. Step 2: Convert to fraction form
    1,600,203/3,499,158 = 3,499,158/x
  3. Step 3: Cross multiply
    1,600,203x = 3,499,158 × 3,499,158
  4. Step 4: Simplify right side
    1,600,203x = 12,244,106,708,964
  5. Step 5: Solve for x
    x = 12,244,106,708,964/1,600,203
  6. Step 6: Final answer
    x = 7,651,595.90

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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.