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Finding the Third Proportional to 1,642,814 and 2,407,473

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Solution

The third proportional to 1,642,814 and 2,407,473 is: 3,528,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,814 : 2,407,473 = 2,407,473 : x
  2. Step 2: Convert to fraction form
    1,642,814/2,407,473 = 2,407,473/x
  3. Step 3: Cross multiply
    1,642,814x = 2,407,473 × 2,407,473
  4. Step 4: Simplify right side
    1,642,814x = 5,795,926,245,729
  5. Step 5: Solve for x
    x = 5,795,926,245,729/1,642,814
  6. Step 6: Final answer
    x = 3,528,047.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.