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Finding the Third Proportional to 2,368,142 and 3,611,157

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Solution

The third proportional to 2,368,142 and 3,611,157 is: 5,506,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,142 : 3,611,157 = 3,611,157 : x
  2. Step 2: Convert to fraction form
    2,368,142/3,611,157 = 3,611,157/x
  3. Step 3: Cross multiply
    2,368,142x = 3,611,157 × 3,611,157
  4. Step 4: Simplify right side
    2,368,142x = 13,040,454,878,649
  5. Step 5: Solve for x
    x = 13,040,454,878,649/2,368,142
  6. Step 6: Final answer
    x = 5,506,618.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.