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Finding the Third Proportional to 3,472,098 and 5,308,209

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Solution

The third proportional to 3,472,098 and 5,308,209 is: 8,115,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472,098 : 5,308,209 = 5,308,209 : x
  2. Step 2: Convert to fraction form
    3,472,098/5,308,209 = 5,308,209/x
  3. Step 3: Cross multiply
    3,472,098x = 5,308,209 × 5,308,209
  4. Step 4: Simplify right side
    3,472,098x = 28,177,082,787,681
  5. Step 5: Solve for x
    x = 28,177,082,787,681/3,472,098
  6. Step 6: Final answer
    x = 8,115,290.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.