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Finding the Third Proportional to 705,642 and 1,065,036

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Solution

The third proportional to 705,642 and 1,065,036 is: 1,607,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,642 : 1,065,036 = 1,065,036 : x
  2. Step 2: Convert to fraction form
    705,642/1,065,036 = 1,065,036/x
  3. Step 3: Cross multiply
    705,642x = 1,065,036 × 1,065,036
  4. Step 4: Simplify right side
    705,642x = 1,134,301,681,296
  5. Step 5: Solve for x
    x = 1,134,301,681,296/705,642
  6. Step 6: Final answer
    x = 1,607,474.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.