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Finding the Third Proportional to 633,893.63 and 1,409,515.88

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Solution

The third proportional to 633,893.63 and 1,409,515.88 is: 3,134,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,893.63 : 1,409,515.88 = 1,409,515.88 : x
  2. Step 2: Convert to fraction form
    633,893.63/1,409,515.88 = 1,409,515.88/x
  3. Step 3: Cross multiply
    633,893.63x = 1,409,515.88 × 1,409,515.88
  4. Step 4: Simplify right side
    633,893.63x = 1,986,735,001,877.02
  5. Step 5: Solve for x
    x = 1,986,735,001,877.02/633,893.63
  6. Step 6: Final answer
    x = 3,134,177.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.