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Finding the Third Proportional to 638,636 and 1,064,348

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Solution

The third proportional to 638,636 and 1,064,348 is: 1,773,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,636 : 1,064,348 = 1,064,348 : x
  2. Step 2: Convert to fraction form
    638,636/1,064,348 = 1,064,348/x
  3. Step 3: Cross multiply
    638,636x = 1,064,348 × 1,064,348
  4. Step 4: Simplify right side
    638,636x = 1,132,836,665,104
  5. Step 5: Solve for x
    x = 1,132,836,665,104/638,636
  6. Step 6: Final answer
    x = 1,773,837.78

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.