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Finding the Third Proportional to 871,186.64 and 1,868,429.53

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Solution

The third proportional to 871,186.64 and 1,868,429.53 is: 4,007,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,186.64 : 1,868,429.53 = 1,868,429.53 : x
  2. Step 2: Convert to fraction form
    871,186.64/1,868,429.53 = 1,868,429.53/x
  3. Step 3: Cross multiply
    871,186.64x = 1,868,429.53 × 1,868,429.53
  4. Step 4: Simplify right side
    871,186.64x = 3,491,028,913,247.10
  5. Step 5: Solve for x
    x = 3,491,028,913,247.10/871,186.64
  6. Step 6: Final answer
    x = 4,007,211.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.