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Finding the Third Proportional to 945,102 and 1,452,642

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Solution

The third proportional to 945,102 and 1,452,642 is: 2,232,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,102 : 1,452,642 = 1,452,642 : x
  2. Step 2: Convert to fraction form
    945,102/1,452,642 = 1,452,642/x
  3. Step 3: Cross multiply
    945,102x = 1,452,642 × 1,452,642
  4. Step 4: Simplify right side
    945,102x = 2,110,168,780,164
  5. Step 5: Solve for x
    x = 2,110,168,780,164/945,102
  6. Step 6: Final answer
    x = 2,232,741.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.