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Finding the Third Proportional to 986,868.56 and 1,235,334.38

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Solution

The third proportional to 986,868.56 and 1,235,334.38 is: 1,546,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,868.56 : 1,235,334.38 = 1,235,334.38 : x
  2. Step 2: Convert to fraction form
    986,868.56/1,235,334.38 = 1,235,334.38/x
  3. Step 3: Cross multiply
    986,868.56x = 1,235,334.38 × 1,235,334.38
  4. Step 4: Simplify right side
    986,868.56x = 1,526,051,018,056.64
  5. Step 5: Solve for x
    x = 1,526,051,018,056.64/986,868.56
  6. Step 6: Final answer
    x = 1,546,356.91

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.