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Finding the Third Proportional to 1,681,567 and 3,690,157

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Solution

The third proportional to 1,681,567 and 3,690,157 is: 8,097,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,567 : 3,690,157 = 3,690,157 : x
  2. Step 2: Convert to fraction form
    1,681,567/3,690,157 = 3,690,157/x
  3. Step 3: Cross multiply
    1,681,567x = 3,690,157 × 3,690,157
  4. Step 4: Simplify right side
    1,681,567x = 13,617,258,684,649
  5. Step 5: Solve for x
    x = 13,617,258,684,649/1,681,567
  6. Step 6: Final answer
    x = 8,097,957.85

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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.