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Finding the Third Proportional to 1,377,222.75 and 1,936,004.63

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Solution

The third proportional to 1,377,222.75 and 1,936,004.63 is: 2,721,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,222.75 : 1,936,004.63 = 1,936,004.63 : x
  2. Step 2: Convert to fraction form
    1,377,222.75/1,936,004.63 = 1,936,004.63/x
  3. Step 3: Cross multiply
    1,377,222.75x = 1,936,004.63 × 1,936,004.63
  4. Step 4: Simplify right side
    1,377,222.75x = 3,748,113,908,021.39
  5. Step 5: Solve for x
    x = 3,748,113,908,021.39/1,377,222.75
  6. Step 6: Final answer
    x = 2,721,501.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.