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Finding the Third Proportional to 1,931,136.19 and 2,921,558.63

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Solution

The third proportional to 1,931,136.19 and 2,921,558.63 is: 4,419,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,136.19 : 2,921,558.63 = 2,921,558.63 : x
  2. Step 2: Convert to fraction form
    1,931,136.19/2,921,558.63 = 2,921,558.63/x
  3. Step 3: Cross multiply
    1,931,136.19x = 2,921,558.63 × 2,921,558.63
  4. Step 4: Simplify right side
    1,931,136.19x = 8,535,504,799,311.89
  5. Step 5: Solve for x
    x = 8,535,504,799,311.89/1,931,136.19
  6. Step 6: Final answer
    x = 4,419,939.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.