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Finding the Third Proportional to 661,506.75 and 1,018,109.25

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Solution

The third proportional to 661,506.75 and 1,018,109.25 is: 1,566,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,506.75 : 1,018,109.25 = 1,018,109.25 : x
  2. Step 2: Convert to fraction form
    661,506.75/1,018,109.25 = 1,018,109.25/x
  3. Step 3: Cross multiply
    661,506.75x = 1,018,109.25 × 1,018,109.25
  4. Step 4: Simplify right side
    661,506.75x = 1,036,546,444,935.56
  5. Step 5: Solve for x
    x = 1,036,546,444,935.56/661,506.75
  6. Step 6: Final answer
    x = 1,566,947.65

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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.