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Finding the Third Proportional to 660,546 and 1,012,142.25

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Solution

The third proportional to 660,546 and 1,012,142.25 is: 1,550,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,546 : 1,012,142.25 = 1,012,142.25 : x
  2. Step 2: Convert to fraction form
    660,546/1,012,142.25 = 1,012,142.25/x
  3. Step 3: Cross multiply
    660,546x = 1,012,142.25 × 1,012,142.25
  4. Step 4: Simplify right side
    660,546x = 1,024,431,934,235.06
  5. Step 5: Solve for x
    x = 1,024,431,934,235.06/660,546
  6. Step 6: Final answer
    x = 1,550,886.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.