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Finding the Third Proportional to 762,422 and 1,121,457

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Solution

The third proportional to 762,422 and 1,121,457 is: 1,649,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,422 : 1,121,457 = 1,121,457 : x
  2. Step 2: Convert to fraction form
    762,422/1,121,457 = 1,121,457/x
  3. Step 3: Cross multiply
    762,422x = 1,121,457 × 1,121,457
  4. Step 4: Simplify right side
    762,422x = 1,257,665,802,849
  5. Step 5: Solve for x
    x = 1,257,665,802,849/762,422
  6. Step 6: Final answer
    x = 1,649,566.52

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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.