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Finding the Third Proportional to 1,655,194.50 and 2,224,315.69

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Solution

The third proportional to 1,655,194.50 and 2,224,315.69 is: 2,989,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,194.50 : 2,224,315.69 = 2,224,315.69 : x
  2. Step 2: Convert to fraction form
    1,655,194.50/2,224,315.69 = 2,224,315.69/x
  3. Step 3: Cross multiply
    1,655,194.50x = 2,224,315.69 × 2,224,315.69
  4. Step 4: Simplify right side
    1,655,194.50x = 4,947,580,277,658.60
  5. Step 5: Solve for x
    x = 4,947,580,277,658.60/1,655,194.50
  6. Step 6: Final answer
    x = 2,989,123.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.