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Finding the Third Proportional to 491,422.50 and 1,051,157.25

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Solution

The third proportional to 491,422.50 and 1,051,157.25 is: 2,248,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,422.50 : 1,051,157.25 = 1,051,157.25 : x
  2. Step 2: Convert to fraction form
    491,422.50/1,051,157.25 = 1,051,157.25/x
  3. Step 3: Cross multiply
    491,422.50x = 1,051,157.25 × 1,051,157.25
  4. Step 4: Simplify right side
    491,422.50x = 1,104,931,564,227.56
  5. Step 5: Solve for x
    x = 1,104,931,564,227.56/491,422.50
  6. Step 6: Final answer
    x = 2,248,435.03

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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.