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Finding the Third Proportional to 612,842 and 945,108.75

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Solution

The third proportional to 612,842 and 945,108.75 is: 1,457,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,842 : 945,108.75 = 945,108.75 : x
  2. Step 2: Convert to fraction form
    612,842/945,108.75 = 945,108.75/x
  3. Step 3: Cross multiply
    612,842x = 945,108.75 × 945,108.75
  4. Step 4: Simplify right side
    612,842x = 893,230,549,326.56
  5. Step 5: Solve for x
    x = 893,230,549,326.56/612,842
  6. Step 6: Final answer
    x = 1,457,521.76

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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.