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Finding the Third Proportional to 2,510,701 and 3,649,411

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Solution

The third proportional to 2,510,701 and 3,649,411 is: 5,304,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,701 : 3,649,411 = 3,649,411 : x
  2. Step 2: Convert to fraction form
    2,510,701/3,649,411 = 3,649,411/x
  3. Step 3: Cross multiply
    2,510,701x = 3,649,411 × 3,649,411
  4. Step 4: Simplify right side
    2,510,701x = 13,318,200,646,921
  5. Step 5: Solve for x
    x = 13,318,200,646,921/2,510,701
  6. Step 6: Final answer
    x = 5,304,574.56

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.