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Finding the Third Proportional to 423,586.13 and 930,863.81

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Solution

The third proportional to 423,586.13 and 930,863.81 is: 2,045,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,586.13 : 930,863.81 = 930,863.81 : x
  2. Step 2: Convert to fraction form
    423,586.13/930,863.81 = 930,863.81/x
  3. Step 3: Cross multiply
    423,586.13x = 930,863.81 × 930,863.81
  4. Step 4: Simplify right side
    423,586.13x = 866,507,437,422.04
  5. Step 5: Solve for x
    x = 866,507,437,422.04/423,586.13
  6. Step 6: Final answer
    x = 2,045,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.