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Finding the Third Proportional to 638,617 and 1,064,320

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Solution

The third proportional to 638,617 and 1,064,320 is: 1,773,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,617 : 1,064,320 = 1,064,320 : x
  2. Step 2: Convert to fraction form
    638,617/1,064,320 = 1,064,320/x
  3. Step 3: Cross multiply
    638,617x = 1,064,320 × 1,064,320
  4. Step 4: Simplify right side
    638,617x = 1,132,777,062,400
  5. Step 5: Solve for x
    x = 1,132,777,062,400/638,617
  6. Step 6: Final answer
    x = 1,773,797.22

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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.